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Finding the Fourth Proportional to 229,714.97, 344,785.68 and 117,475.39

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Solution

The fourth proportional to 229,714.97, 344,785.68 and 117,475.39 is: 176,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,714.97 : 344,785.68 = 117,475.39 : x
  2. Step 2: Convert to fraction form
    229,714.97/344,785.68 = 117,475.39/x
  3. Step 3: Cross multiply
    229,714.97x = 344,785.68 × 117,475.39
  4. Step 4: Simplify right side
    229,714.97x = 40,503,832,655.40
  5. Step 5: Solve for x
    x = 40,503,832,655.40/229,714.97
  6. Step 6: Final answer
    x = 176,322.13

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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.