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Finding the Fourth Proportional to 140,961.77, 194,527.17 and 77,300.93

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Solution

The fourth proportional to 140,961.77, 194,527.17 and 77,300.93 is: 106,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,961.77 : 194,527.17 = 77,300.93 : x
  2. Step 2: Convert to fraction form
    140,961.77/194,527.17 = 77,300.93/x
  3. Step 3: Cross multiply
    140,961.77x = 194,527.17 × 77,300.93
  4. Step 4: Simplify right side
    140,961.77x = 15,037,131,637.59
  5. Step 5: Solve for x
    x = 15,037,131,637.59/140,961.77
  6. Step 6: Final answer
    x = 106,675.25

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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.