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Finding the Fourth Proportional to 96,731.20, 145,096.80 and 85,844.80

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Solution

The fourth proportional to 96,731.20, 145,096.80 and 85,844.80 is: 128,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,731.20 : 145,096.80 = 85,844.80 : x
  2. Step 2: Convert to fraction form
    96,731.20/145,096.80 = 85,844.80/x
  3. Step 3: Cross multiply
    96,731.20x = 145,096.80 × 85,844.80
  4. Step 4: Simplify right side
    96,731.20x = 12,455,805,776.64
  5. Step 5: Solve for x
    x = 12,455,805,776.64/96,731.20
  6. Step 6: Final answer
    x = 128,767.20

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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.