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Finding the Fourth Proportional to 140,889.68, 194,426.84 and 77,230.16

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Solution

The fourth proportional to 140,889.68, 194,426.84 and 77,230.16 is: 106,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,889.68 : 194,426.84 = 77,230.16 : x
  2. Step 2: Convert to fraction form
    140,889.68/194,426.84 = 77,230.16/x
  3. Step 3: Cross multiply
    140,889.68x = 194,426.84 × 77,230.16
  4. Step 4: Simplify right side
    140,889.68x = 15,015,615,961.49
  5. Step 5: Solve for x
    x = 15,015,615,961.49/140,889.68
  6. Step 6: Final answer
    x = 106,577.12

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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.