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Finding the Fourth Proportional to 229,657.92, 316,889.58 and 127,680.48

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Solution

The fourth proportional to 229,657.92, 316,889.58 and 127,680.48 is: 176,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,657.92 : 316,889.58 = 127,680.48 : x
  2. Step 2: Convert to fraction form
    229,657.92/316,889.58 = 127,680.48/x
  3. Step 3: Cross multiply
    229,657.92x = 316,889.58 × 127,680.48
  4. Step 4: Simplify right side
    229,657.92x = 40,460,613,681.40
  5. Step 5: Solve for x
    x = 40,460,613,681.40/229,657.92
  6. Step 6: Final answer
    x = 176,177.74

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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.