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Finding the Fourth Proportional to 140,914.56, 194,474.36 and 77,264.76

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Solution

The fourth proportional to 140,914.56, 194,474.36 and 77,264.76 is: 106,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.56 : 194,474.36 = 77,264.76 : x
  2. Step 2: Convert to fraction form
    140,914.56/194,474.36 = 77,264.76/x
  3. Step 3: Cross multiply
    140,914.56x = 194,474.36 × 77,264.76
  4. Step 4: Simplify right side
    140,914.56x = 15,026,014,751.55
  5. Step 5: Solve for x
    x = 15,026,014,751.55/140,914.56
  6. Step 6: Final answer
    x = 106,632.10

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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.