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Finding the Fourth Proportional to 115,196.70, 158,966.34 and 64,215

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Solution

The fourth proportional to 115,196.70, 158,966.34 and 64,215 is: 88,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,196.70 : 158,966.34 = 64,215 : x
  2. Step 2: Convert to fraction form
    115,196.70/158,966.34 = 64,215/x
  3. Step 3: Cross multiply
    115,196.70x = 158,966.34 × 64,215
  4. Step 4: Simplify right side
    115,196.70x = 10,208,023,523.10
  5. Step 5: Solve for x
    x = 10,208,023,523.10/115,196.70
  6. Step 6: Final answer
    x = 88,613.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.