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Finding the Fourth Proportional to 342,711.10, 514,085.79 and 106,035.33

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Solution

The fourth proportional to 342,711.10, 514,085.79 and 106,035.33 is: 159,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,711.10 : 514,085.79 = 106,035.33 : x
  2. Step 2: Convert to fraction form
    342,711.10/514,085.79 = 106,035.33/x
  3. Step 3: Cross multiply
    342,711.10x = 514,085.79 × 106,035.33
  4. Step 4: Simplify right side
    342,711.10x = 54,511,255,228.23
  5. Step 5: Solve for x
    x = 54,511,255,228.23/342,711.10
  6. Step 6: Final answer
    x = 159,058.91

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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.