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Finding the Fourth Proportional to 206,354.77, 309,532.60 and 56,597.20

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Solution

The fourth proportional to 206,354.77, 309,532.60 and 56,597.20 is: 84,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.77 : 309,532.60 = 56,597.20 : x
  2. Step 2: Convert to fraction form
    206,354.77/309,532.60 = 56,597.20/x
  3. Step 3: Cross multiply
    206,354.77x = 309,532.60 × 56,597.20
  4. Step 4: Simplify right side
    206,354.77x = 17,518,678,468.72
  5. Step 5: Solve for x
    x = 17,518,678,468.72/206,354.77
  6. Step 6: Final answer
    x = 84,895.92

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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.