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Finding the Fourth Proportional to 115,965.38, 160,032.22 and 65,674.10

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Solution

The fourth proportional to 115,965.38, 160,032.22 and 65,674.10 is: 90,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,965.38 : 160,032.22 = 65,674.10 : x
  2. Step 2: Convert to fraction form
    115,965.38/160,032.22 = 65,674.10/x
  3. Step 3: Cross multiply
    115,965.38x = 160,032.22 × 65,674.10
  4. Step 4: Simplify right side
    115,965.38x = 10,509,971,055.16
  5. Step 5: Solve for x
    x = 10,509,971,055.16/115,965.38
  6. Step 6: Final answer
    x = 90,630.25

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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.