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Finding the Fourth Proportional to 206,353.77, 309,531.10 and 56,596.20

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Solution

The fourth proportional to 206,353.77, 309,531.10 and 56,596.20 is: 84,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,353.77 : 309,531.10 = 56,596.20 : x
  2. Step 2: Convert to fraction form
    206,353.77/309,531.10 = 56,596.20/x
  3. Step 3: Cross multiply
    206,353.77x = 309,531.10 × 56,596.20
  4. Step 4: Simplify right side
    206,353.77x = 17,518,284,041.82
  5. Step 5: Solve for x
    x = 17,518,284,041.82/206,353.77
  6. Step 6: Final answer
    x = 84,894.42

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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.