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Finding the Fourth Proportional to 207,127.40, 285,846.12 and 116,511.88

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Solution

The fourth proportional to 207,127.40, 285,846.12 and 116,511.88 is: 160,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,127.40 : 285,846.12 = 116,511.88 : x
  2. Step 2: Convert to fraction form
    207,127.40/285,846.12 = 116,511.88/x
  3. Step 3: Cross multiply
    207,127.40x = 285,846.12 × 116,511.88
  4. Step 4: Simplify right side
    207,127.40x = 33,304,468,831.91
  5. Step 5: Solve for x
    x = 33,304,468,831.91/207,127.40
  6. Step 6: Final answer
    x = 160,792.19

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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.