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Finding the Fourth Proportional to 115,962.50, 160,028.25 and 65,661.50

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Solution

The fourth proportional to 115,962.50, 160,028.25 and 65,661.50 is: 90,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,962.50 : 160,028.25 = 65,661.50 : x
  2. Step 2: Convert to fraction form
    115,962.50/160,028.25 = 65,661.50/x
  3. Step 3: Cross multiply
    115,962.50x = 160,028.25 × 65,661.50
  4. Step 4: Simplify right side
    115,962.50x = 10,507,694,937.38
  5. Step 5: Solve for x
    x = 10,507,694,937.38/115,962.50
  6. Step 6: Final answer
    x = 90,612.87

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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.