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Finding the Fourth Proportional to 114,862.74, 172,294.11 and 52,489.50

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Solution

The fourth proportional to 114,862.74, 172,294.11 and 52,489.50 is: 78,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,862.74 : 172,294.11 = 52,489.50 : x
  2. Step 2: Convert to fraction form
    114,862.74/172,294.11 = 52,489.50/x
  3. Step 3: Cross multiply
    114,862.74x = 172,294.11 × 52,489.50
  4. Step 4: Simplify right side
    114,862.74x = 9,043,631,686.85
  5. Step 5: Solve for x
    x = 9,043,631,686.85/114,862.74
  6. Step 6: Final answer
    x = 78,734.25

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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.