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Finding the Fourth Proportional to 145,520.20, 200,829.54 and 81,854.20

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Solution

The fourth proportional to 145,520.20, 200,829.54 and 81,854.20 is: 112,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,520.20 : 200,829.54 = 81,854.20 : x
  2. Step 2: Convert to fraction form
    145,520.20/200,829.54 = 81,854.20/x
  3. Step 3: Cross multiply
    145,520.20x = 200,829.54 × 81,854.20
  4. Step 4: Simplify right side
    145,520.20x = 16,438,741,333.07
  5. Step 5: Solve for x
    x = 16,438,741,333.07/145,520.20
  6. Step 6: Final answer
    x = 112,965.36

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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.