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Finding the Fourth Proportional to 113,114.38, 169,674 and 34,228.48

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Solution

The fourth proportional to 113,114.38, 169,674 and 34,228.48 is: 51,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,114.38 : 169,674 = 34,228.48 : x
  2. Step 2: Convert to fraction form
    113,114.38/169,674 = 34,228.48/x
  3. Step 3: Cross multiply
    113,114.38x = 169,674 × 34,228.48
  4. Step 4: Simplify right side
    113,114.38x = 5,807,683,115.52
  5. Step 5: Solve for x
    x = 5,807,683,115.52/113,114.38
  6. Step 6: Final answer
    x = 51,343.46

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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.