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Finding the Fourth Proportional to 119,497.68, 178,754.04 and 98,197.92

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Solution

The fourth proportional to 119,497.68, 178,754.04 and 98,197.92 is: 146,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,497.68 : 178,754.04 = 98,197.92 : x
  2. Step 2: Convert to fraction form
    119,497.68/178,754.04 = 98,197.92/x
  3. Step 3: Cross multiply
    119,497.68x = 178,754.04 × 98,197.92
  4. Step 4: Simplify right side
    119,497.68x = 17,553,274,919.60
  5. Step 5: Solve for x
    x = 17,553,274,919.60/119,497.68
  6. Step 6: Final answer
    x = 146,892.18

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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.