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Finding the Fourth Proportional to 142,819.20, 214,228.80 and 37,648.80

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Solution

The fourth proportional to 142,819.20, 214,228.80 and 37,648.80 is: 56,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,819.20 : 214,228.80 = 37,648.80 : x
  2. Step 2: Convert to fraction form
    142,819.20/214,228.80 = 37,648.80/x
  3. Step 3: Cross multiply
    142,819.20x = 214,228.80 × 37,648.80
  4. Step 4: Simplify right side
    142,819.20x = 8,065,457,245.44
  5. Step 5: Solve for x
    x = 8,065,457,245.44/142,819.20
  6. Step 6: Final answer
    x = 56,473.20

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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.