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Finding the Fourth Proportional to 162,024.80, 243,037.20 and 152,175.20

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Solution

The fourth proportional to 162,024.80, 243,037.20 and 152,175.20 is: 228,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024.80 : 243,037.20 = 152,175.20 : x
  2. Step 2: Convert to fraction form
    162,024.80/243,037.20 = 152,175.20/x
  3. Step 3: Cross multiply
    162,024.80x = 243,037.20 × 152,175.20
  4. Step 4: Simplify right side
    162,024.80x = 36,984,234,517.44
  5. Step 5: Solve for x
    x = 36,984,234,517.44/162,024.80
  6. Step 6: Final answer
    x = 228,262.80

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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.