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Finding the Fourth Proportional to 229,471.82, 316,667.12 and 127,498.22

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Solution

The fourth proportional to 229,471.82, 316,667.12 and 127,498.22 is: 175,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,471.82 : 316,667.12 = 127,498.22 : x
  2. Step 2: Convert to fraction form
    229,471.82/316,667.12 = 127,498.22/x
  3. Step 3: Cross multiply
    229,471.82x = 316,667.12 × 127,498.22
  4. Step 4: Simplify right side
    229,471.82x = 40,374,494,132.53
  5. Step 5: Solve for x
    x = 40,374,494,132.53/229,471.82
  6. Step 6: Final answer
    x = 175,945.33

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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.