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Finding the Fourth Proportional to 536,116.20, 804,116.70 and 142,132.20

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Solution

The fourth proportional to 536,116.20, 804,116.70 and 142,132.20 is: 213,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,116.20 : 804,116.70 = 142,132.20 : x
  2. Step 2: Convert to fraction form
    536,116.20/804,116.70 = 142,132.20/x
  3. Step 3: Cross multiply
    536,116.20x = 804,116.70 × 142,132.20
  4. Step 4: Simplify right side
    536,116.20x = 114,290,875,627.74
  5. Step 5: Solve for x
    x = 114,290,875,627.74/536,116.20
  6. Step 6: Final answer
    x = 213,183.03

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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.