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Finding the Fourth Proportional to 116,154.88, 160,234.65 and 75,892.21

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Solution

The fourth proportional to 116,154.88, 160,234.65 and 75,892.21 is: 104,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,154.88 : 160,234.65 = 75,892.21 : x
  2. Step 2: Convert to fraction form
    116,154.88/160,234.65 = 75,892.21/x
  3. Step 3: Cross multiply
    116,154.88x = 160,234.65 × 75,892.21
  4. Step 4: Simplify right side
    116,154.88x = 12,160,561,306.49
  5. Step 5: Solve for x
    x = 12,160,561,306.49/116,154.88
  6. Step 6: Final answer
    x = 104,692.64

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1.5x scale

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.