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Finding the Fourth Proportional to 105,310.40, 157,658.40 and 94,251.20

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Solution

The fourth proportional to 105,310.40, 157,658.40 and 94,251.20 is: 141,101.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,310.40 : 157,658.40 = 94,251.20 : x
  2. Step 2: Convert to fraction form
    105,310.40/157,658.40 = 94,251.20/x
  3. Step 3: Cross multiply
    105,310.40x = 157,658.40 × 94,251.20
  4. Step 4: Simplify right side
    105,310.40x = 14,859,493,390.08
  5. Step 5: Solve for x
    x = 14,859,493,390.08/105,310.40
  6. Step 6: Final answer
    x = 141,101.86

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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.