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Finding the Fourth Proportional to 114,269.46, 171,469 and 61,677.78

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Solution

The fourth proportional to 114,269.46, 171,469 and 61,677.78 is: 92,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,269.46 : 171,469 = 61,677.78 : x
  2. Step 2: Convert to fraction form
    114,269.46/171,469 = 61,677.78/x
  3. Step 3: Cross multiply
    114,269.46x = 171,469 × 61,677.78
  4. Step 4: Simplify right side
    114,269.46x = 10,575,827,258.82
  5. Step 5: Solve for x
    x = 10,575,827,258.82/114,269.46
  6. Step 6: Final answer
    x = 92,551.65

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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.