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Finding the Fourth Proportional to 159,311.68, 219,773.25 and 98,952.50

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Solution

The fourth proportional to 159,311.68, 219,773.25 and 98,952.50 is: 136,506.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.68 : 219,773.25 = 98,952.50 : x
  2. Step 2: Convert to fraction form
    159,311.68/219,773.25 = 98,952.50/x
  3. Step 3: Cross multiply
    159,311.68x = 219,773.25 × 98,952.50
  4. Step 4: Simplify right side
    159,311.68x = 21,747,113,070.06
  5. Step 5: Solve for x
    x = 21,747,113,070.06/159,311.68
  6. Step 6: Final answer
    x = 136,506.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.