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Finding the Fourth Proportional to 359,091.33, 538,471.40 and 106,281.42

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Solution

The fourth proportional to 359,091.33, 538,471.40 and 106,281.42 is: 159,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,091.33 : 538,471.40 = 106,281.42 : x
  2. Step 2: Convert to fraction form
    359,091.33/538,471.40 = 106,281.42/x
  3. Step 3: Cross multiply
    359,091.33x = 538,471.40 × 106,281.42
  4. Step 4: Simplify right side
    359,091.33x = 57,229,505,836.16
  5. Step 5: Solve for x
    x = 57,229,505,836.16/359,091.33
  6. Step 6: Final answer
    x = 159,373.12

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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.