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Finding the Fourth Proportional to 190,674, 286,086.32 and 72,376.74

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Solution

The fourth proportional to 190,674, 286,086.32 and 72,376.74 is: 108,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 286,086.32 = 72,376.74 : x
  2. Step 2: Convert to fraction form
    190,674/286,086.32 = 72,376.74/x
  3. Step 3: Cross multiply
    190,674x = 286,086.32 × 72,376.74
  4. Step 4: Simplify right side
    190,674x = 20,705,995,200.20
  5. Step 5: Solve for x
    x = 20,705,995,200.20/190,674
  6. Step 6: Final answer
    x = 108,593.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.