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Finding the Fourth Proportional to 205,065.10, 307,309.65 and 163,017.10

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Solution

The fourth proportional to 205,065.10, 307,309.65 and 163,017.10 is: 244,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.10 : 307,309.65 = 163,017.10 : x
  2. Step 2: Convert to fraction form
    205,065.10/307,309.65 = 163,017.10/x
  3. Step 3: Cross multiply
    205,065.10x = 307,309.65 × 163,017.10
  4. Step 4: Simplify right side
    205,065.10x = 50,096,727,945.02
  5. Step 5: Solve for x
    x = 50,096,727,945.02/205,065.10
  6. Step 6: Final answer
    x = 244,296.70

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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.