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Finding the Fourth Proportional to 257,091.40, 385,637.10 and 151,856.20

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Solution

The fourth proportional to 257,091.40, 385,637.10 and 151,856.20 is: 227,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,091.40 : 385,637.10 = 151,856.20 : x
  2. Step 2: Convert to fraction form
    257,091.40/385,637.10 = 151,856.20/x
  3. Step 3: Cross multiply
    257,091.40x = 385,637.10 × 151,856.20
  4. Step 4: Simplify right side
    257,091.40x = 58,561,384,585.02
  5. Step 5: Solve for x
    x = 58,561,384,585.02/257,091.40
  6. Step 6: Final answer
    x = 227,784.30

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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.