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Finding the Fourth Proportional to 229,004.76, 343,565.28 and 71,234.40

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Solution

The fourth proportional to 229,004.76, 343,565.28 and 71,234.40 is: 106,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,004.76 : 343,565.28 = 71,234.40 : x
  2. Step 2: Convert to fraction form
    229,004.76/343,565.28 = 71,234.40/x
  3. Step 3: Cross multiply
    229,004.76x = 343,565.28 × 71,234.40
  4. Step 4: Simplify right side
    229,004.76x = 24,473,666,581.63
  5. Step 5: Solve for x
    x = 24,473,666,581.63/229,004.76
  6. Step 6: Final answer
    x = 106,869.69

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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.