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Finding the Fourth Proportional to 257,342.40, 355,132.52 and 156,740.40

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Solution

The fourth proportional to 257,342.40, 355,132.52 and 156,740.40 is: 216,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,342.40 : 355,132.52 = 156,740.40 : x
  2. Step 2: Convert to fraction form
    257,342.40/355,132.52 = 156,740.40/x
  3. Step 3: Cross multiply
    257,342.40x = 355,132.52 × 156,740.40
  4. Step 4: Simplify right side
    257,342.40x = 55,663,613,237.81
  5. Step 5: Solve for x
    x = 55,663,613,237.81/257,342.40
  6. Step 6: Final answer
    x = 216,301.76

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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.