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Finding the Fourth Proportional to 229,632.64, 316,898.33 and 127,654.18

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Solution

The fourth proportional to 229,632.64, 316,898.33 and 127,654.18 is: 176,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,632.64 : 316,898.33 = 127,654.18 : x
  2. Step 2: Convert to fraction form
    229,632.64/316,898.33 = 127,654.18/x
  3. Step 3: Cross multiply
    229,632.64x = 316,898.33 × 127,654.18
  4. Step 4: Simplify right side
    229,632.64x = 40,453,395,029.00
  5. Step 5: Solve for x
    x = 40,453,395,029.00/229,632.64
  6. Step 6: Final answer
    x = 176,165.70

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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.