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Finding the Fourth Proportional to 117,301.63, 175,934.62 and 38,414.11

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Solution

The fourth proportional to 117,301.63, 175,934.62 and 38,414.11 is: 57,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,301.63 : 175,934.62 = 38,414.11 : x
  2. Step 2: Convert to fraction form
    117,301.63/175,934.62 = 38,414.11/x
  3. Step 3: Cross multiply
    117,301.63x = 175,934.62 × 38,414.11
  4. Step 4: Simplify right side
    117,301.63x = 6,758,371,845.49
  5. Step 5: Solve for x
    x = 6,758,371,845.49/117,301.63
  6. Step 6: Final answer
    x = 57,615.33

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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.