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Finding the Fourth Proportional to 142,831.20, 214,246.80 and 37,660.80

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Solution

The fourth proportional to 142,831.20, 214,246.80 and 37,660.80 is: 56,491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,831.20 : 214,246.80 = 37,660.80 : x
  2. Step 2: Convert to fraction form
    142,831.20/214,246.80 = 37,660.80/x
  3. Step 3: Cross multiply
    142,831.20x = 214,246.80 × 37,660.80
  4. Step 4: Simplify right side
    142,831.20x = 8,068,705,885.44
  5. Step 5: Solve for x
    x = 8,068,705,885.44/142,831.20
  6. Step 6: Final answer
    x = 56,491.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.