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Finding the Fourth Proportional to 99,793.10, 149,689.65 and 97,824.80

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Solution

The fourth proportional to 99,793.10, 149,689.65 and 97,824.80 is: 146,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.10 : 149,689.65 = 97,824.80 : x
  2. Step 2: Convert to fraction form
    99,793.10/149,689.65 = 97,824.80/x
  3. Step 3: Cross multiply
    99,793.10x = 149,689.65 × 97,824.80
  4. Step 4: Simplify right side
    99,793.10x = 14,643,360,073.32
  5. Step 5: Solve for x
    x = 14,643,360,073.32/99,793.10
  6. Step 6: Final answer
    x = 146,737.20

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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.