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Finding the Fourth Proportional to 205,434.20, 307,568.10 and 205,434.20

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Solution

The fourth proportional to 205,434.20, 307,568.10 and 205,434.20 is: 307,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,434.20 : 307,568.10 = 205,434.20 : x
  2. Step 2: Convert to fraction form
    205,434.20/307,568.10 = 205,434.20/x
  3. Step 3: Cross multiply
    205,434.20x = 307,568.10 × 205,434.20
  4. Step 4: Simplify right side
    205,434.20x = 63,185,006,569.02
  5. Step 5: Solve for x
    x = 63,185,006,569.02/205,434.20
  6. Step 6: Final answer
    x = 307,568.10

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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.