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Finding the Fourth Proportional to 229,954.71, 317,353.03 and 127,988.58

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Solution

The fourth proportional to 229,954.71, 317,353.03 and 127,988.58 is: 176,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,954.71 : 317,353.03 = 127,988.58 : x
  2. Step 2: Convert to fraction form
    229,954.71/317,353.03 = 127,988.58/x
  3. Step 3: Cross multiply
    229,954.71x = 317,353.03 × 127,988.58
  4. Step 4: Simplify right side
    229,954.71x = 40,617,563,348.43
  5. Step 5: Solve for x
    x = 40,617,563,348.43/229,954.71
  6. Step 6: Final answer
    x = 176,632.88

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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.