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Finding the Fourth Proportional to 233,888.73, 322,849.44 and 138,395.22

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Solution

The fourth proportional to 233,888.73, 322,849.44 and 138,395.22 is: 191,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,888.73 : 322,849.44 = 138,395.22 : x
  2. Step 2: Convert to fraction form
    233,888.73/322,849.44 = 138,395.22/x
  3. Step 3: Cross multiply
    233,888.73x = 322,849.44 × 138,395.22
  4. Step 4: Simplify right side
    233,888.73x = 44,680,819,275.68
  5. Step 5: Solve for x
    x = 44,680,819,275.68/233,888.73
  6. Step 6: Final answer
    x = 191,034.51

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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.