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Finding the Fourth Proportional to 116,191.17, 160,334.46 and 65,196.90

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Solution

The fourth proportional to 116,191.17, 160,334.46 and 65,196.90 is: 89,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,191.17 : 160,334.46 = 65,196.90 : x
  2. Step 2: Convert to fraction form
    116,191.17/160,334.46 = 65,196.90/x
  3. Step 3: Cross multiply
    116,191.17x = 160,334.46 × 65,196.90
  4. Step 4: Simplify right side
    116,191.17x = 10,453,309,755.17
  5. Step 5: Solve for x
    x = 10,453,309,755.17/116,191.17
  6. Step 6: Final answer
    x = 89,966.47

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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.