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Finding the Fourth Proportional to 115,026.74, 158,723.10 and 64,027.25

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Solution

The fourth proportional to 115,026.74, 158,723.10 and 64,027.25 is: 88,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,026.74 : 158,723.10 = 64,027.25 : x
  2. Step 2: Convert to fraction form
    115,026.74/158,723.10 = 64,027.25/x
  3. Step 3: Cross multiply
    115,026.74x = 158,723.10 × 64,027.25
  4. Step 4: Simplify right side
    115,026.74x = 10,162,603,604.48
  5. Step 5: Solve for x
    x = 10,162,603,604.48/115,026.74
  6. Step 6: Final answer
    x = 88,349.92

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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.