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Finding the Fourth Proportional to 205,432.20, 307,565.10 and 205,432.20

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Solution

The fourth proportional to 205,432.20, 307,565.10 and 205,432.20 is: 307,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,432.20 : 307,565.10 = 205,432.20 : x
  2. Step 2: Convert to fraction form
    205,432.20/307,565.10 = 205,432.20/x
  3. Step 3: Cross multiply
    205,432.20x = 307,565.10 × 205,432.20
  4. Step 4: Simplify right side
    205,432.20x = 63,183,775,136.22
  5. Step 5: Solve for x
    x = 63,183,775,136.22/205,432.20
  6. Step 6: Final answer
    x = 307,565.10

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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.