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Finding the Fourth Proportional to 359,905.20, 540,044.10 and 146,829.30

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Solution

The fourth proportional to 359,905.20, 540,044.10 and 146,829.30 is: 220,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,905.20 : 540,044.10 = 146,829.30 : x
  2. Step 2: Convert to fraction form
    359,905.20/540,044.10 = 146,829.30/x
  3. Step 3: Cross multiply
    359,905.20x = 540,044.10 × 146,829.30
  4. Step 4: Simplify right side
    359,905.20x = 79,294,297,172.13
  5. Step 5: Solve for x
    x = 79,294,297,172.13/359,905.20
  6. Step 6: Final answer
    x = 220,319.95

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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.