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Finding the Fourth Proportional to 206,677.98, 285,220.85 and 116,041.01

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Solution

The fourth proportional to 206,677.98, 285,220.85 and 116,041.01 is: 160,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.98 : 285,220.85 = 116,041.01 : x
  2. Step 2: Convert to fraction form
    206,677.98/285,220.85 = 116,041.01/x
  3. Step 3: Cross multiply
    206,677.98x = 285,220.85 × 116,041.01
  4. Step 4: Simplify right side
    206,677.98x = 33,097,313,500.75
  5. Step 5: Solve for x
    x = 33,097,313,500.75/206,677.98
  6. Step 6: Final answer
    x = 160,139.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.