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Finding the Fourth Proportional to 218,959.01, 302,172.41 and 138,357.13

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Solution

The fourth proportional to 218,959.01, 302,172.41 and 138,357.13 is: 190,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959.01 : 302,172.41 = 138,357.13 : x
  2. Step 2: Convert to fraction form
    218,959.01/302,172.41 = 138,357.13/x
  3. Step 3: Cross multiply
    218,959.01x = 302,172.41 × 138,357.13
  4. Step 4: Simplify right side
    218,959.01x = 41,807,705,965.57
  5. Step 5: Solve for x
    x = 41,807,705,965.57/218,959.01
  6. Step 6: Final answer
    x = 190,938.50

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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.