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Finding the Fourth Proportional to 130,098, 179,535.24 and 70,482

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Solution

The fourth proportional to 130,098, 179,535.24 and 70,482 is: 97,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,098 : 179,535.24 = 70,482 : x
  2. Step 2: Convert to fraction form
    130,098/179,535.24 = 70,482/x
  3. Step 3: Cross multiply
    130,098x = 179,535.24 × 70,482
  4. Step 4: Simplify right side
    130,098x = 12,654,002,785.68
  5. Step 5: Solve for x
    x = 12,654,002,785.68/130,098
  6. Step 6: Final answer
    x = 97,265.16

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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.