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Finding the Fourth Proportional to 140,697.84, 194,163.57 and 77,035.08

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Solution

The fourth proportional to 140,697.84, 194,163.57 and 77,035.08 is: 106,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,697.84 : 194,163.57 = 77,035.08 : x
  2. Step 2: Convert to fraction form
    140,697.84/194,163.57 = 77,035.08/x
  3. Step 3: Cross multiply
    140,697.84x = 194,163.57 × 77,035.08
  4. Step 4: Simplify right side
    140,697.84x = 14,957,406,148.04
  5. Step 5: Solve for x
    x = 14,957,406,148.04/140,697.84
  6. Step 6: Final answer
    x = 106,308.71

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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.