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Finding the Fourth Proportional to 359,305.73, 538,866.55 and 106,527.14

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Solution

The fourth proportional to 359,305.73, 538,866.55 and 106,527.14 is: 159,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,305.73 : 538,866.55 = 106,527.14 : x
  2. Step 2: Convert to fraction form
    359,305.73/538,866.55 = 106,527.14/x
  3. Step 3: Cross multiply
    359,305.73x = 538,866.55 × 106,527.14
  4. Step 4: Simplify right side
    359,305.73x = 57,403,912,413.17
  5. Step 5: Solve for x
    x = 57,403,912,413.17/359,305.73
  6. Step 6: Final answer
    x = 159,763.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.