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Finding the Fourth Proportional to 359,317.76, 538,746.24 and 149,100.80

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Solution

The fourth proportional to 359,317.76, 538,746.24 and 149,100.80 is: 223,555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,317.76 : 538,746.24 = 149,100.80 : x
  2. Step 2: Convert to fraction form
    359,317.76/538,746.24 = 149,100.80/x
  3. Step 3: Cross multiply
    359,317.76x = 538,746.24 × 149,100.80
  4. Step 4: Simplify right side
    359,317.76x = 80,327,495,380.99
  5. Step 5: Solve for x
    x = 80,327,495,380.99/359,317.76
  6. Step 6: Final answer
    x = 223,555.59

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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.