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Finding the Fourth Proportional to 229,472.55, 344,114.08 and 99,649.80

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Solution

The fourth proportional to 229,472.55, 344,114.08 and 99,649.80 is: 149,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,472.55 : 344,114.08 = 99,649.80 : x
  2. Step 2: Convert to fraction form
    229,472.55/344,114.08 = 99,649.80/x
  3. Step 3: Cross multiply
    229,472.55x = 344,114.08 × 99,649.80
  4. Step 4: Simplify right side
    229,472.55x = 34,290,899,000.06
  5. Step 5: Solve for x
    x = 34,290,899,000.06/229,472.55
  6. Step 6: Final answer
    x = 149,433.56

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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.