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Finding the Fourth Proportional to 114,227.64, 157,691.34 and 71,809.56

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Solution

The fourth proportional to 114,227.64, 157,691.34 and 71,809.56 is: 99,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,227.64 : 157,691.34 = 71,809.56 : x
  2. Step 2: Convert to fraction form
    114,227.64/157,691.34 = 71,809.56/x
  3. Step 3: Cross multiply
    114,227.64x = 157,691.34 × 71,809.56
  4. Step 4: Simplify right side
    114,227.64x = 11,323,745,741.21
  5. Step 5: Solve for x
    x = 11,323,745,741.21/114,227.64
  6. Step 6: Final answer
    x = 99,133.15

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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.