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Finding the Fourth Proportional to 116,275.21, 160,454.17 and 65,281.66

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Solution

The fourth proportional to 116,275.21, 160,454.17 and 65,281.66 is: 90,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,275.21 : 160,454.17 = 65,281.66 : x
  2. Step 2: Convert to fraction form
    116,275.21/160,454.17 = 65,281.66/x
  3. Step 3: Cross multiply
    116,275.21x = 160,454.17 × 65,281.66
  4. Step 4: Simplify right side
    116,275.21x = 10,474,714,571.52
  5. Step 5: Solve for x
    x = 10,474,714,571.52/116,275.21
  6. Step 6: Final answer
    x = 90,085.54

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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.