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Finding the Fourth Proportional to 256,773.27, 385,325.15 and 138,526.23

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Solution

The fourth proportional to 256,773.27, 385,325.15 and 138,526.23 is: 207,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,773.27 : 385,325.15 = 138,526.23 : x
  2. Step 2: Convert to fraction form
    256,773.27/385,325.15 = 138,526.23/x
  3. Step 3: Cross multiply
    256,773.27x = 385,325.15 × 138,526.23
  4. Step 4: Simplify right side
    256,773.27x = 53,377,639,661.05
  5. Step 5: Solve for x
    x = 53,377,639,661.05/256,773.27
  6. Step 6: Final answer
    x = 207,878.49

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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.