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Finding the Fourth Proportional to 206,710.20, 310,065.30 and 180,466.20

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Solution

The fourth proportional to 206,710.20, 310,065.30 and 180,466.20 is: 270,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710.20 : 310,065.30 = 180,466.20 : x
  2. Step 2: Convert to fraction form
    206,710.20/310,065.30 = 180,466.20/x
  3. Step 3: Cross multiply
    206,710.20x = 310,065.30 × 180,466.20
  4. Step 4: Simplify right side
    206,710.20x = 55,956,306,442.86
  5. Step 5: Solve for x
    x = 55,956,306,442.86/206,710.20
  6. Step 6: Final answer
    x = 270,699.30

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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.