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Finding the Fourth Proportional to 115,987.36, 160,057.20 and 65,686.72

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Solution

The fourth proportional to 115,987.36, 160,057.20 and 65,686.72 is: 90,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,987.36 : 160,057.20 = 65,686.72 : x
  2. Step 2: Convert to fraction form
    115,987.36/160,057.20 = 65,686.72/x
  3. Step 3: Cross multiply
    115,987.36x = 160,057.20 × 65,686.72
  4. Step 4: Simplify right side
    115,987.36x = 10,513,632,480.38
  5. Step 5: Solve for x
    x = 10,513,632,480.38/115,987.36
  6. Step 6: Final answer
    x = 90,644.64

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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.