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Finding the Fourth Proportional to 209,781.80, 314,548.22 and 83,354.21

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Solution

The fourth proportional to 209,781.80, 314,548.22 and 83,354.21 is: 124,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,781.80 : 314,548.22 = 83,354.21 : x
  2. Step 2: Convert to fraction form
    209,781.80/314,548.22 = 83,354.21/x
  3. Step 3: Cross multiply
    209,781.80x = 314,548.22 × 83,354.21
  4. Step 4: Simplify right side
    209,781.80x = 26,218,918,385.01
  5. Step 5: Solve for x
    x = 26,218,918,385.01/209,781.80
  6. Step 6: Final answer
    x = 124,981.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.