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Finding the Fourth Proportional to 218,843.87, 302,006.84 and 123,350.57

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Solution

The fourth proportional to 218,843.87, 302,006.84 and 123,350.57 is: 170,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,843.87 : 302,006.84 = 123,350.57 : x
  2. Step 2: Convert to fraction form
    218,843.87/302,006.84 = 123,350.57/x
  3. Step 3: Cross multiply
    218,843.87x = 302,006.84 × 123,350.57
  4. Step 4: Simplify right side
    218,843.87x = 37,252,713,731.11
  5. Step 5: Solve for x
    x = 37,252,713,731.11/218,843.87
  6. Step 6: Final answer
    x = 170,225.07

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1.5x scale

Why These Related Problems?

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