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Finding the Fourth Proportional to 99,258.68, 148,872.36 and 82,499.30

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Solution

The fourth proportional to 99,258.68, 148,872.36 and 82,499.30 is: 123,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,258.68 : 148,872.36 = 82,499.30 : x
  2. Step 2: Convert to fraction form
    99,258.68/148,872.36 = 82,499.30/x
  3. Step 3: Cross multiply
    99,258.68x = 148,872.36 × 82,499.30
  4. Step 4: Simplify right side
    99,258.68x = 12,281,865,489.35
  5. Step 5: Solve for x
    x = 12,281,865,489.35/99,258.68
  6. Step 6: Final answer
    x = 123,735.93

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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.