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Finding the Fourth Proportional to 257,854.01, 386,780.45 and 145,483.20

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Solution

The fourth proportional to 257,854.01, 386,780.45 and 145,483.20 is: 218,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.01 : 386,780.45 = 145,483.20 : x
  2. Step 2: Convert to fraction form
    257,854.01/386,780.45 = 145,483.20/x
  3. Step 3: Cross multiply
    257,854.01x = 386,780.45 × 145,483.20
  4. Step 4: Simplify right side
    257,854.01x = 56,270,056,836.02
  5. Step 5: Solve for x
    x = 56,270,056,836.02/257,854.01
  6. Step 6: Final answer
    x = 218,224.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.