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Finding the Fourth Proportional to 359,084.72, 538,705.97 and 106,385.06

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Solution

The fourth proportional to 359,084.72, 538,705.97 and 106,385.06 is: 159,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,084.72 : 538,705.97 = 106,385.06 : x
  2. Step 2: Convert to fraction form
    359,084.72/538,705.97 = 106,385.06/x
  3. Step 3: Cross multiply
    359,084.72x = 538,705.97 × 106,385.06
  4. Step 4: Simplify right side
    359,084.72x = 57,310,266,940.81
  5. Step 5: Solve for x
    x = 57,310,266,940.81/359,084.72
  6. Step 6: Final answer
    x = 159,600.96

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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.