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Finding the Fourth Proportional to 229,543.41, 344,363.85 and 71,783.76

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Solution

The fourth proportional to 229,543.41, 344,363.85 and 71,783.76 is: 107,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,543.41 : 344,363.85 = 71,783.76 : x
  2. Step 2: Convert to fraction form
    229,543.41/344,363.85 = 71,783.76/x
  3. Step 3: Cross multiply
    229,543.41x = 344,363.85 × 71,783.76
  4. Step 4: Simplify right side
    229,543.41x = 24,719,731,961.08
  5. Step 5: Solve for x
    x = 24,719,731,961.08/229,543.41
  6. Step 6: Final answer
    x = 107,690.88

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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.