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Finding the Fourth Proportional to 116,192.17, 160,335.84 and 65,197.90

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Solution

The fourth proportional to 116,192.17, 160,335.84 and 65,197.90 is: 89,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,192.17 : 160,335.84 = 65,197.90 : x
  2. Step 2: Convert to fraction form
    116,192.17/160,335.84 = 65,197.90/x
  3. Step 3: Cross multiply
    116,192.17x = 160,335.84 × 65,197.90
  4. Step 4: Simplify right side
    116,192.17x = 10,453,560,062.74
  5. Step 5: Solve for x
    x = 10,453,560,062.74/116,192.17
  6. Step 6: Final answer
    x = 89,967.85

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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.