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Finding the Fourth Proportional to 206,505.96, 285,078.34 and 138,498.10

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Solution

The fourth proportional to 206,505.96, 285,078.34 and 138,498.10 is: 191,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505.96 : 285,078.34 = 138,498.10 : x
  2. Step 2: Convert to fraction form
    206,505.96/285,078.34 = 138,498.10/x
  3. Step 3: Cross multiply
    206,505.96x = 285,078.34 × 138,498.10
  4. Step 4: Simplify right side
    206,505.96x = 39,482,808,441.15
  5. Step 5: Solve for x
    x = 39,482,808,441.15/206,505.96
  6. Step 6: Final answer
    x = 191,194.52

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