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Finding the Fourth Proportional to 205,065.90, 307,598.85 and 202,301.10

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Solution

The fourth proportional to 205,065.90, 307,598.85 and 202,301.10 is: 303,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.90 : 307,598.85 = 202,301.10 : x
  2. Step 2: Convert to fraction form
    205,065.90/307,598.85 = 202,301.10/x
  3. Step 3: Cross multiply
    205,065.90x = 307,598.85 × 202,301.10
  4. Step 4: Simplify right side
    205,065.90x = 62,227,585,713.74
  5. Step 5: Solve for x
    x = 62,227,585,713.74/205,065.90
  6. Step 6: Final answer
    x = 303,451.65

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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.