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Finding the Fourth Proportional to 205,378.40, 307,318.23 and 121,178.90

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Solution

The fourth proportional to 205,378.40, 307,318.23 and 121,178.90 is: 181,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,378.40 : 307,318.23 = 121,178.90 : x
  2. Step 2: Convert to fraction form
    205,378.40/307,318.23 = 121,178.90/x
  3. Step 3: Cross multiply
    205,378.40x = 307,318.23 × 121,178.90
  4. Step 4: Simplify right side
    205,378.40x = 37,240,483,524.76
  5. Step 5: Solve for x
    x = 37,240,483,524.76/205,378.40
  6. Step 6: Final answer
    x = 181,326.20

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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.