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Finding the Fourth Proportional to 97,657.28, 146,318.49 and 65,576.22

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Solution

The fourth proportional to 97,657.28, 146,318.49 and 65,576.22 is: 98,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,657.28 : 146,318.49 = 65,576.22 : x
  2. Step 2: Convert to fraction form
    97,657.28/146,318.49 = 65,576.22/x
  3. Step 3: Cross multiply
    97,657.28x = 146,318.49 × 65,576.22
  4. Step 4: Simplify right side
    97,657.28x = 9,595,013,490.31
  5. Step 5: Solve for x
    x = 9,595,013,490.31/97,657.28
  6. Step 6: Final answer
    x = 98,251.90

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1.5x scale

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.