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Finding the Fourth Proportional to 229,157.96, 316,233.22 and 127,177.49

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Solution

The fourth proportional to 229,157.96, 316,233.22 and 127,177.49 is: 175,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,157.96 : 316,233.22 = 127,177.49 : x
  2. Step 2: Convert to fraction form
    229,157.96/316,233.22 = 127,177.49/x
  3. Step 3: Cross multiply
    229,157.96x = 316,233.22 × 127,177.49
  4. Step 4: Simplify right side
    229,157.96x = 40,217,745,593.05
  5. Step 5: Solve for x
    x = 40,217,745,593.05/229,157.96
  6. Step 6: Final answer
    x = 175,502.29

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1.5x scale

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.