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Finding the Fourth Proportional to 188,473.73, 260,095.76 and 102,432.71

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Solution

The fourth proportional to 188,473.73, 260,095.76 and 102,432.71 is: 141,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,473.73 : 260,095.76 = 102,432.71 : x
  2. Step 2: Convert to fraction form
    188,473.73/260,095.76 = 102,432.71/x
  3. Step 3: Cross multiply
    188,473.73x = 260,095.76 × 102,432.71
  4. Step 4: Simplify right side
    188,473.73x = 26,642,313,044.15
  5. Step 5: Solve for x
    x = 26,642,313,044.15/188,473.73
  6. Step 6: Final answer
    x = 141,358.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.