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Finding the Fourth Proportional to 359,743.83, 539,521.76 and 106,956.24

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Solution

The fourth proportional to 359,743.83, 539,521.76 and 106,956.24 is: 160,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,743.83 : 539,521.76 = 106,956.24 : x
  2. Step 2: Convert to fraction form
    359,743.83/539,521.76 = 106,956.24/x
  3. Step 3: Cross multiply
    359,743.83x = 539,521.76 × 106,956.24
  4. Step 4: Simplify right side
    359,743.83x = 57,705,218,313.00
  5. Step 5: Solve for x
    x = 57,705,218,313.00/359,743.83
  6. Step 6: Final answer
    x = 160,406.42

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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.