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Finding the Fourth Proportional to 140,679.84, 194,130.90 and 77,005.56

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Solution

The fourth proportional to 140,679.84, 194,130.90 and 77,005.56 is: 106,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,679.84 : 194,130.90 = 77,005.56 : x
  2. Step 2: Convert to fraction form
    140,679.84/194,130.90 = 77,005.56/x
  3. Step 3: Cross multiply
    140,679.84x = 194,130.90 × 77,005.56
  4. Step 4: Simplify right side
    140,679.84x = 14,949,158,667.80
  5. Step 5: Solve for x
    x = 14,949,158,667.80/140,679.84
  6. Step 6: Final answer
    x = 106,263.69

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1.5x scale

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.