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Finding the Fourth Proportional to 231,397.20, 346,966.20 and 98,254.80

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Solution

The fourth proportional to 231,397.20, 346,966.20 and 98,254.80 is: 147,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,397.20 : 346,966.20 = 98,254.80 : x
  2. Step 2: Convert to fraction form
    231,397.20/346,966.20 = 98,254.80/x
  3. Step 3: Cross multiply
    231,397.20x = 346,966.20 × 98,254.80
  4. Step 4: Simplify right side
    231,397.20x = 34,091,094,587.76
  5. Step 5: Solve for x
    x = 34,091,094,587.76/231,397.20
  6. Step 6: Final answer
    x = 147,327.17

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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.