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Finding the Fourth Proportional to 229,898.16, 317,259.68 and 127,932.96

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Solution

The fourth proportional to 229,898.16, 317,259.68 and 127,932.96 is: 176,547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,898.16 : 317,259.68 = 127,932.96 : x
  2. Step 2: Convert to fraction form
    229,898.16/317,259.68 = 127,932.96/x
  3. Step 3: Cross multiply
    229,898.16x = 317,259.68 × 127,932.96
  4. Step 4: Simplify right side
    229,898.16x = 40,587,969,951.05
  5. Step 5: Solve for x
    x = 40,587,969,951.05/229,898.16
  6. Step 6: Final answer
    x = 176,547.61

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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.