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Finding the Fourth Proportional to 142,818.80, 214,228.20 and 120,009.20

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Solution

The fourth proportional to 142,818.80, 214,228.20 and 120,009.20 is: 180,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,818.80 : 214,228.20 = 120,009.20 : x
  2. Step 2: Convert to fraction form
    142,818.80/214,228.20 = 120,009.20/x
  3. Step 3: Cross multiply
    142,818.80x = 214,228.20 × 120,009.20
  4. Step 4: Simplify right side
    142,818.80x = 25,709,354,899.44
  5. Step 5: Solve for x
    x = 25,709,354,899.44/142,818.80
  6. Step 6: Final answer
    x = 180,013.80

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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.