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Finding the Fourth Proportional to 140,866.56, 194,387.04 and 77,199.84

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Solution

The fourth proportional to 140,866.56, 194,387.04 and 77,199.84 is: 106,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.56 : 194,387.04 = 77,199.84 : x
  2. Step 2: Convert to fraction form
    140,866.56/194,387.04 = 77,199.84/x
  3. Step 3: Cross multiply
    140,866.56x = 194,387.04 × 77,199.84
  4. Step 4: Simplify right side
    140,866.56x = 15,006,648,386.07
  5. Step 5: Solve for x
    x = 15,006,648,386.07/140,866.56
  6. Step 6: Final answer
    x = 106,530.95

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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.