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Finding the Fourth Proportional to 178,465.74, 267,290.01 and 89,744.46

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Solution

The fourth proportional to 178,465.74, 267,290.01 and 89,744.46 is: 134,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,465.74 : 267,290.01 = 89,744.46 : x
  2. Step 2: Convert to fraction form
    178,465.74/267,290.01 = 89,744.46/x
  3. Step 3: Cross multiply
    178,465.74x = 267,290.01 × 89,744.46
  4. Step 4: Simplify right side
    178,465.74x = 23,987,797,610.84
  5. Step 5: Solve for x
    x = 23,987,797,610.84/178,465.74
  6. Step 6: Final answer
    x = 134,411.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.