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Finding the Fourth Proportional to 229,558.38, 316,788.35 and 127,584.24

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Solution

The fourth proportional to 229,558.38, 316,788.35 and 127,584.24 is: 176,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,558.38 : 316,788.35 = 127,584.24 : x
  2. Step 2: Convert to fraction form
    229,558.38/316,788.35 = 127,584.24/x
  3. Step 3: Cross multiply
    229,558.38x = 316,788.35 × 127,584.24
  4. Step 4: Simplify right side
    229,558.38x = 40,417,200,237.68
  5. Step 5: Solve for x
    x = 40,417,200,237.68/229,558.38
  6. Step 6: Final answer
    x = 176,065.02

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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.