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Finding the Fourth Proportional to 205,847,404.88, 284,069,419.80 and 113,027,913.20

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Solution

The fourth proportional to 205,847,404.88, 284,069,419.80 and 113,027,913.20 is: 155,978,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,847,404.88 : 284,069,419.80 = 113,027,913.20 : x
  2. Step 2: Convert to fraction form
    205,847,404.88/284,069,419.80 = 113,027,913.20/x
  3. Step 3: Cross multiply
    205,847,404.88x = 284,069,419.80 × 113,027,913.20
  4. Step 4: Simplify right side
    205,847,404.88x = 32,107,773,723,928,764
  5. Step 5: Solve for x
    x = 32,107,773,723,928,764/205,847,404.88
  6. Step 6: Final answer
    x = 155,978,520.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.