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Finding the Fourth Proportional to 106,219.74, 159,337.80 and 27,334.74

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Solution

The fourth proportional to 106,219.74, 159,337.80 and 27,334.74 is: 41,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,219.74 : 159,337.80 = 27,334.74 : x
  2. Step 2: Convert to fraction form
    106,219.74/159,337.80 = 27,334.74/x
  3. Step 3: Cross multiply
    106,219.74x = 159,337.80 × 27,334.74
  4. Step 4: Simplify right side
    106,219.74x = 4,355,457,335.17
  5. Step 5: Solve for x
    x = 4,355,457,335.17/106,219.74
  6. Step 6: Final answer
    x = 41,004.22

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1.5x scale

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.