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Finding the Fourth Proportional to 252,077.40, 378,116.10 and 162,847.80

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Solution

The fourth proportional to 252,077.40, 378,116.10 and 162,847.80 is: 244,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,077.40 : 378,116.10 = 162,847.80 : x
  2. Step 2: Convert to fraction form
    252,077.40/378,116.10 = 162,847.80/x
  3. Step 3: Cross multiply
    252,077.40x = 378,116.10 × 162,847.80
  4. Step 4: Simplify right side
    252,077.40x = 61,575,375,029.58
  5. Step 5: Solve for x
    x = 61,575,375,029.58/252,077.40
  6. Step 6: Final answer
    x = 244,271.70

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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.