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Finding the Fourth Proportional to 231,630.80, 346,927.80 and 178,869.20

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Solution

The fourth proportional to 231,630.80, 346,927.80 and 178,869.20 is: 267,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,630.80 : 346,927.80 = 178,869.20 : x
  2. Step 2: Convert to fraction form
    231,630.80/346,927.80 = 178,869.20/x
  3. Step 3: Cross multiply
    231,630.80x = 346,927.80 × 178,869.20
  4. Step 4: Simplify right side
    231,630.80x = 62,054,698,043.76
  5. Step 5: Solve for x
    x = 62,054,698,043.76/231,630.80
  6. Step 6: Final answer
    x = 267,903.48

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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.