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Finding the Fourth Proportional to 99,178.56, 148,748.40 and 29,039.04

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Solution

The fourth proportional to 99,178.56, 148,748.40 and 29,039.04 is: 43,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178.56 : 148,748.40 = 29,039.04 : x
  2. Step 2: Convert to fraction form
    99,178.56/148,748.40 = 29,039.04/x
  3. Step 3: Cross multiply
    99,178.56x = 148,748.40 × 29,039.04
  4. Step 4: Simplify right side
    99,178.56x = 4,319,510,737.54
  5. Step 5: Solve for x
    x = 4,319,510,737.54/99,178.56
  6. Step 6: Final answer
    x = 43,552.87

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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.