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Finding the Fourth Proportional to 140,956.66, 194,510.69 and 77,293.10

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Solution

The fourth proportional to 140,956.66, 194,510.69 and 77,293.10 is: 106,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,956.66 : 194,510.69 = 77,293.10 : x
  2. Step 2: Convert to fraction form
    140,956.66/194,510.69 = 77,293.10/x
  3. Step 3: Cross multiply
    140,956.66x = 194,510.69 × 77,293.10
  4. Step 4: Simplify right side
    140,956.66x = 15,034,334,213.24
  5. Step 5: Solve for x
    x = 15,034,334,213.24/140,956.66
  6. Step 6: Final answer
    x = 106,659.27

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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.