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Finding the Fourth Proportional to 140,860.52, 194,386.39 and 77,198.16

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Solution

The fourth proportional to 140,860.52, 194,386.39 and 77,198.16 is: 106,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,860.52 : 194,386.39 = 77,198.16 : x
  2. Step 2: Convert to fraction form
    140,860.52/194,386.39 = 77,198.16/x
  3. Step 3: Cross multiply
    140,860.52x = 194,386.39 × 77,198.16
  4. Step 4: Simplify right side
    140,860.52x = 15,006,271,637.04
  5. Step 5: Solve for x
    x = 15,006,271,637.04/140,860.52
  6. Step 6: Final answer
    x = 106,532.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.