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Finding the Fourth Proportional to 342,991.16, 514,506.16 and 106,367.48

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Solution

The fourth proportional to 342,991.16, 514,506.16 and 106,367.48 is: 159,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,991.16 : 514,506.16 = 106,367.48 : x
  2. Step 2: Convert to fraction form
    342,991.16/514,506.16 = 106,367.48/x
  3. Step 3: Cross multiply
    342,991.16x = 514,506.16 × 106,367.48
  4. Step 4: Simplify right side
    342,991.16x = 54,726,723,683.68
  5. Step 5: Solve for x
    x = 54,726,723,683.68/342,991.16
  6. Step 6: Final answer
    x = 159,557.24

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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.