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Finding the Fourth Proportional to 231,609.80, 346,896.30 and 178,848.20

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Solution

The fourth proportional to 231,609.80, 346,896.30 and 178,848.20 is: 267,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,609.80 : 346,896.30 = 178,848.20 : x
  2. Step 2: Convert to fraction form
    231,609.80/346,896.30 = 178,848.20/x
  3. Step 3: Cross multiply
    231,609.80x = 346,896.30 × 178,848.20
  4. Step 4: Simplify right side
    231,609.80x = 62,041,778,841.66
  5. Step 5: Solve for x
    x = 62,041,778,841.66/231,609.80
  6. Step 6: Final answer
    x = 267,871.99

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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.