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Finding the Fourth Proportional to 229,663.74, 344,565.61 and 117,422.76

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Solution

The fourth proportional to 229,663.74, 344,565.61 and 117,422.76 is: 176,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,663.74 : 344,565.61 = 117,422.76 : x
  2. Step 2: Convert to fraction form
    229,663.74/344,565.61 = 117,422.76/x
  3. Step 3: Cross multiply
    229,663.74x = 344,565.61 × 117,422.76
  4. Step 4: Simplify right side
    229,663.74x = 40,459,846,090.97
  5. Step 5: Solve for x
    x = 40,459,846,090.97/229,663.74
  6. Step 6: Final answer
    x = 176,169.93

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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.