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Finding the Fourth Proportional to 132,920.89, 183,441.75 and 75,578.21

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Solution

The fourth proportional to 132,920.89, 183,441.75 and 75,578.21 is: 104,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,920.89 : 183,441.75 = 75,578.21 : x
  2. Step 2: Convert to fraction form
    132,920.89/183,441.75 = 75,578.21/x
  3. Step 3: Cross multiply
    132,920.89x = 183,441.75 × 75,578.21
  4. Step 4: Simplify right side
    132,920.89x = 13,864,199,158.38
  5. Step 5: Solve for x
    x = 13,864,199,158.38/132,920.89
  6. Step 6: Final answer
    x = 104,304.14

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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.