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Finding the Fourth Proportional to 114,211.52, 171,218.76 and 54,965.68

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Solution

The fourth proportional to 114,211.52, 171,218.76 and 54,965.68 is: 82,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,211.52 : 171,218.76 = 54,965.68 : x
  2. Step 2: Convert to fraction form
    114,211.52/171,218.76 = 54,965.68/x
  3. Step 3: Cross multiply
    114,211.52x = 171,218.76 × 54,965.68
  4. Step 4: Simplify right side
    114,211.52x = 9,411,155,572.16
  5. Step 5: Solve for x
    x = 9,411,155,572.16/114,211.52
  6. Step 6: Final answer
    x = 82,401.11

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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.