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Finding the Fourth Proportional to 231,655.14, 346,827.42 and 147,205.98

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Solution

The fourth proportional to 231,655.14, 346,827.42 and 147,205.98 is: 220,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,655.14 : 346,827.42 = 147,205.98 : x
  2. Step 2: Convert to fraction form
    231,655.14/346,827.42 = 147,205.98/x
  3. Step 3: Cross multiply
    231,655.14x = 346,827.42 × 147,205.98
  4. Step 4: Simplify right side
    231,655.14x = 51,055,070,251.97
  5. Step 5: Solve for x
    x = 51,055,070,251.97/231,655.14
  6. Step 6: Final answer
    x = 220,392.56

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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.