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Finding the Fourth Proportional to 115,193.26, 158,952.54 and 64,193.50

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Solution

The fourth proportional to 115,193.26, 158,952.54 and 64,193.50 is: 88,579.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,193.26 : 158,952.54 = 64,193.50 : x
  2. Step 2: Convert to fraction form
    115,193.26/158,952.54 = 64,193.50/x
  3. Step 3: Cross multiply
    115,193.26x = 158,952.54 × 64,193.50
  4. Step 4: Simplify right side
    115,193.26x = 10,203,719,876.49
  5. Step 5: Solve for x
    x = 10,203,719,876.49/115,193.26
  6. Step 6: Final answer
    x = 88,579.14

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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.