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Finding the Fourth Proportional to 359,830.22, 539,853.19 and 107,119.53

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Solution

The fourth proportional to 359,830.22, 539,853.19 and 107,119.53 is: 160,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,830.22 : 539,853.19 = 107,119.53 : x
  2. Step 2: Convert to fraction form
    359,830.22/539,853.19 = 107,119.53/x
  3. Step 3: Cross multiply
    359,830.22x = 539,853.19 × 107,119.53
  4. Step 4: Simplify right side
    359,830.22x = 57,828,819,714.00
  5. Step 5: Solve for x
    x = 57,828,819,714.00/359,830.22
  6. Step 6: Final answer
    x = 160,711.41

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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.