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Finding the Fourth Proportional to 229,065.44, 316,110 and 128,462.56

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Solution

The fourth proportional to 229,065.44, 316,110 and 128,462.56 is: 177,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,065.44 : 316,110 = 128,462.56 : x
  2. Step 2: Convert to fraction form
    229,065.44/316,110 = 128,462.56/x
  3. Step 3: Cross multiply
    229,065.44x = 316,110 × 128,462.56
  4. Step 4: Simplify right side
    229,065.44x = 40,608,299,841.60
  5. Step 5: Solve for x
    x = 40,608,299,841.60/229,065.44
  6. Step 6: Final answer
    x = 177,278.16

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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.