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Finding the Fourth Proportional to 257,639.67, 355,561.65 and 142,936.38

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Solution

The fourth proportional to 257,639.67, 355,561.65 and 142,936.38 is: 197,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,639.67 : 355,561.65 = 142,936.38 : x
  2. Step 2: Convert to fraction form
    257,639.67/355,561.65 = 142,936.38/x
  3. Step 3: Cross multiply
    257,639.67x = 355,561.65 × 142,936.38
  4. Step 4: Simplify right side
    257,639.67x = 50,822,695,117.83
  5. Step 5: Solve for x
    x = 50,822,695,117.83/257,639.67
  6. Step 6: Final answer
    x = 197,262.69

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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.