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Finding the Fourth Proportional to 359,349.12, 539,103.36 and 106,649.76

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Solution

The fourth proportional to 359,349.12, 539,103.36 and 106,649.76 is: 159,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,349.12 : 539,103.36 = 106,649.76 : x
  2. Step 2: Convert to fraction form
    359,349.12/539,103.36 = 106,649.76/x
  3. Step 3: Cross multiply
    359,349.12x = 539,103.36 × 106,649.76
  4. Step 4: Simplify right side
    359,349.12x = 57,495,243,959.19
  5. Step 5: Solve for x
    x = 57,495,243,959.19/359,349.12
  6. Step 6: Final answer
    x = 159,998.29

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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.