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Finding the Fourth Proportional to 114,413.14, 157,882.17 and 63,425.38

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Solution

The fourth proportional to 114,413.14, 157,882.17 and 63,425.38 is: 87,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,413.14 : 157,882.17 = 63,425.38 : x
  2. Step 2: Convert to fraction form
    114,413.14/157,882.17 = 63,425.38/x
  3. Step 3: Cross multiply
    114,413.14x = 157,882.17 × 63,425.38
  4. Step 4: Simplify right side
    114,413.14x = 10,013,736,627.47
  5. Step 5: Solve for x
    x = 10,013,736,627.47/114,413.14
  6. Step 6: Final answer
    x = 87,522.61

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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.