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Finding the Fourth Proportional to 218,853.90, 302,020.65 and 123,360.57

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Solution

The fourth proportional to 218,853.90, 302,020.65 and 123,360.57 is: 170,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,853.90 : 302,020.65 = 123,360.57 : x
  2. Step 2: Convert to fraction form
    218,853.90/302,020.65 = 123,360.57/x
  3. Step 3: Cross multiply
    218,853.90x = 302,020.65 × 123,360.57
  4. Step 4: Simplify right side
    218,853.90x = 37,257,439,535.77
  5. Step 5: Solve for x
    x = 37,257,439,535.77/218,853.90
  6. Step 6: Final answer
    x = 170,238.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.