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Finding the Fourth Proportional to 99,930.60, 149,876.70 and 29,812.20

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Solution

The fourth proportional to 99,930.60, 149,876.70 and 29,812.20 is: 44,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,930.60 : 149,876.70 = 29,812.20 : x
  2. Step 2: Convert to fraction form
    99,930.60/149,876.70 = 29,812.20/x
  3. Step 3: Cross multiply
    99,930.60x = 149,876.70 × 29,812.20
  4. Step 4: Simplify right side
    99,930.60x = 4,468,154,155.74
  5. Step 5: Solve for x
    x = 4,468,154,155.74/99,930.60
  6. Step 6: Final answer
    x = 44,712.57

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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.