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Finding the Fourth Proportional to 160,195.85, 240,105.14 and 65,366.85

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Solution

The fourth proportional to 160,195.85, 240,105.14 and 65,366.85 is: 97,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,195.85 : 240,105.14 = 65,366.85 : x
  2. Step 2: Convert to fraction form
    160,195.85/240,105.14 = 65,366.85/x
  3. Step 3: Cross multiply
    160,195.85x = 240,105.14 × 65,366.85
  4. Step 4: Simplify right side
    160,195.85x = 15,694,916,670.61
  5. Step 5: Solve for x
    x = 15,694,916,670.61/160,195.85
  6. Step 6: Final answer
    x = 97,973.30

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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.