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Finding the Fourth Proportional to 138,095.69, 207,143.73 and 42,033.74

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Solution

The fourth proportional to 138,095.69, 207,143.73 and 42,033.74 is: 63,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,095.69 : 207,143.73 = 42,033.74 : x
  2. Step 2: Convert to fraction form
    138,095.69/207,143.73 = 42,033.74/x
  3. Step 3: Cross multiply
    138,095.69x = 207,143.73 × 42,033.74
  4. Step 4: Simplify right side
    138,095.69x = 8,707,024,653.73
  5. Step 5: Solve for x
    x = 8,707,024,653.73/138,095.69
  6. Step 6: Final answer
    x = 63,050.66

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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.