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Finding the Fourth Proportional to 257,499.16, 386,269.74 and 129,349.53

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Solution

The fourth proportional to 257,499.16, 386,269.74 and 129,349.53 is: 194,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499.16 : 386,269.74 = 129,349.53 : x
  2. Step 2: Convert to fraction form
    257,499.16/386,269.74 = 129,349.53/x
  3. Step 3: Cross multiply
    257,499.16x = 386,269.74 × 129,349.53
  4. Step 4: Simplify right side
    257,499.16x = 49,963,809,322.22
  5. Step 5: Solve for x
    x = 49,963,809,322.22/257,499.16
  6. Step 6: Final answer
    x = 194,034.84

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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.