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Finding the Fourth Proportional to 162,008.80, 243,013.20 and 142,763.20

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Solution

The fourth proportional to 162,008.80, 243,013.20 and 142,763.20 is: 214,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008.80 : 243,013.20 = 142,763.20 : x
  2. Step 2: Convert to fraction form
    162,008.80/243,013.20 = 142,763.20/x
  3. Step 3: Cross multiply
    162,008.80x = 243,013.20 × 142,763.20
  4. Step 4: Simplify right side
    162,008.80x = 34,693,342,074.24
  5. Step 5: Solve for x
    x = 34,693,342,074.24/162,008.80
  6. Step 6: Final answer
    x = 214,144.80

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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.