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Finding the Fourth Proportional to 134,948, 202,422 and 41,453.76

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Solution

The fourth proportional to 134,948, 202,422 and 41,453.76 is: 62,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,948 : 202,422 = 41,453.76 : x
  2. Step 2: Convert to fraction form
    134,948/202,422 = 41,453.76/x
  3. Step 3: Cross multiply
    134,948x = 202,422 × 41,453.76
  4. Step 4: Simplify right side
    134,948x = 8,391,153,006.72
  5. Step 5: Solve for x
    x = 8,391,153,006.72/134,948
  6. Step 6: Final answer
    x = 62,180.64

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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.