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Finding the Fourth Proportional to 232,515.84, 320,882.40 and 137,026.56

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Solution

The fourth proportional to 232,515.84, 320,882.40 and 137,026.56 is: 189,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,515.84 : 320,882.40 = 137,026.56 : x
  2. Step 2: Convert to fraction form
    232,515.84/320,882.40 = 137,026.56/x
  3. Step 3: Cross multiply
    232,515.84x = 320,882.40 × 137,026.56
  4. Step 4: Simplify right side
    232,515.84x = 43,969,411,436.54
  5. Step 5: Solve for x
    x = 43,969,411,436.54/232,515.84
  6. Step 6: Final answer
    x = 189,102.86

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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.