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Finding the Fourth Proportional to 235,510, 353,178.60 and 77,691.76

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Solution

The fourth proportional to 235,510, 353,178.60 and 77,691.76 is: 116,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,510 : 353,178.60 = 77,691.76 : x
  2. Step 2: Convert to fraction form
    235,510/353,178.60 = 77,691.76/x
  3. Step 3: Cross multiply
    235,510x = 353,178.60 × 77,691.76
  4. Step 4: Simplify right side
    235,510x = 27,439,067,028.34
  5. Step 5: Solve for x
    x = 27,439,067,028.34/235,510
  6. Step 6: Final answer
    x = 116,509.14

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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.