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Finding the Fourth Proportional to 231,672.30, 347,638.05 and 98,529.90

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Solution

The fourth proportional to 231,672.30, 347,638.05 and 98,529.90 is: 147,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,672.30 : 347,638.05 = 98,529.90 : x
  2. Step 2: Convert to fraction form
    231,672.30/347,638.05 = 98,529.90/x
  3. Step 3: Cross multiply
    231,672.30x = 347,638.05 × 98,529.90
  4. Step 4: Simplify right side
    231,672.30x = 34,252,742,302.70
  5. Step 5: Solve for x
    x = 34,252,742,302.70/231,672.30
  6. Step 6: Final answer
    x = 147,849.97

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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.