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Finding the Fourth Proportional to 229,665.38, 316,938.83 and 127,688.00

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Solution

The fourth proportional to 229,665.38, 316,938.83 and 127,688.00 is: 176,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,665.38 : 316,938.83 = 127,688.00 : x
  2. Step 2: Convert to fraction form
    229,665.38/316,938.83 = 127,688.00/x
  3. Step 3: Cross multiply
    229,665.38x = 316,938.83 × 127,688.00
  4. Step 4: Simplify right side
    229,665.38x = 40,469,283,101.91
  5. Step 5: Solve for x
    x = 40,469,283,101.91/229,665.38
  6. Step 6: Final answer
    x = 176,209.77

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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.