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Finding the Fourth Proportional to 114,293.71, 157,734.26 and 65,911.20

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Solution

The fourth proportional to 114,293.71, 157,734.26 and 65,911.20 is: 90,962.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,293.71 : 157,734.26 = 65,911.20 : x
  2. Step 2: Convert to fraction form
    114,293.71/157,734.26 = 65,911.20/x
  3. Step 3: Cross multiply
    114,293.71x = 157,734.26 × 65,911.20
  4. Step 4: Simplify right side
    114,293.71x = 10,396,454,357.71
  5. Step 5: Solve for x
    x = 10,396,454,357.71/114,293.71
  6. Step 6: Final answer
    x = 90,962.61

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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.