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Finding the Fourth Proportional to 115,197.75, 158,972.90 and 64,896.75

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Solution

The fourth proportional to 115,197.75, 158,972.90 and 64,896.75 is: 89,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,197.75 : 158,972.90 = 64,896.75 : x
  2. Step 2: Convert to fraction form
    115,197.75/158,972.90 = 64,896.75/x
  3. Step 3: Cross multiply
    115,197.75x = 158,972.90 × 64,896.75
  4. Step 4: Simplify right side
    115,197.75x = 10,316,824,223.59
  5. Step 5: Solve for x
    x = 10,316,824,223.59/115,197.75
  6. Step 6: Final answer
    x = 89,557.52

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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.