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Finding the Fourth Proportional to 140,718.42, 194,184.72 and 77,056.56

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Solution

The fourth proportional to 140,718.42, 194,184.72 and 77,056.56 is: 106,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,718.42 : 194,184.72 = 77,056.56 : x
  2. Step 2: Convert to fraction form
    140,718.42/194,184.72 = 77,056.56/x
  3. Step 3: Cross multiply
    140,718.42x = 194,184.72 × 77,056.56
  4. Step 4: Simplify right side
    140,718.42x = 14,963,206,527.76
  5. Step 5: Solve for x
    x = 14,963,206,527.76/140,718.42
  6. Step 6: Final answer
    x = 106,334.38

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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.