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Finding the Fourth Proportional to 229,508.15, 316,714.90 and 127,530.97

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Solution

The fourth proportional to 229,508.15, 316,714.90 and 127,530.97 is: 175,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,508.15 : 316,714.90 = 127,530.97 : x
  2. Step 2: Convert to fraction form
    229,508.15/316,714.90 = 127,530.97/x
  3. Step 3: Cross multiply
    229,508.15x = 316,714.90 × 127,530.97
  4. Step 4: Simplify right side
    229,508.15x = 40,390,956,189.22
  5. Step 5: Solve for x
    x = 40,390,956,189.22/229,508.15
  6. Step 6: Final answer
    x = 175,989.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.