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Finding the Fourth Proportional to 135,165.24, 186,520.48 and 74,732.24

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Solution

The fourth proportional to 135,165.24, 186,520.48 and 74,732.24 is: 103,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,165.24 : 186,520.48 = 74,732.24 : x
  2. Step 2: Convert to fraction form
    135,165.24/186,520.48 = 74,732.24/x
  3. Step 3: Cross multiply
    135,165.24x = 186,520.48 × 74,732.24
  4. Step 4: Simplify right side
    135,165.24x = 13,939,093,555.75
  5. Step 5: Solve for x
    x = 13,939,093,555.75/135,165.24
  6. Step 6: Final answer
    x = 103,126.32

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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.