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Finding the Fourth Proportional to 205,034.10, 307,551.15 and 197,160.90

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Solution

The fourth proportional to 205,034.10, 307,551.15 and 197,160.90 is: 295,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.10 : 307,551.15 = 197,160.90 : x
  2. Step 2: Convert to fraction form
    205,034.10/307,551.15 = 197,160.90/x
  3. Step 3: Cross multiply
    205,034.10x = 307,551.15 × 197,160.90
  4. Step 4: Simplify right side
    205,034.10x = 60,637,061,530.04
  5. Step 5: Solve for x
    x = 60,637,061,530.04/205,034.10
  6. Step 6: Final answer
    x = 295,741.35

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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.