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Finding the Fourth Proportional to 160,033.56, 220,831.20 and 102,571.44

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Solution

The fourth proportional to 160,033.56, 220,831.20 and 102,571.44 is: 141,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,033.56 : 220,831.20 = 102,571.44 : x
  2. Step 2: Convert to fraction form
    160,033.56/220,831.20 = 102,571.44/x
  3. Step 3: Cross multiply
    160,033.56x = 220,831.20 × 102,571.44
  4. Step 4: Simplify right side
    160,033.56x = 22,650,974,180.93
  5. Step 5: Solve for x
    x = 22,650,974,180.93/160,033.56
  6. Step 6: Final answer
    x = 141,538.90

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1.5x scale

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.