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Finding the Fourth Proportional to 229,820.74, 344,493.34 and 87,627.76

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Solution

The fourth proportional to 229,820.74, 344,493.34 and 87,627.76 is: 131,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,820.74 : 344,493.34 = 87,627.76 : x
  2. Step 2: Convert to fraction form
    229,820.74/344,493.34 = 87,627.76/x
  3. Step 3: Cross multiply
    229,820.74x = 344,493.34 × 87,627.76
  4. Step 4: Simplify right side
    229,820.74x = 30,187,178,638.82
  5. Step 5: Solve for x
    x = 30,187,178,638.82/229,820.74
  6. Step 6: Final answer
    x = 131,350.98

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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.