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Finding the Fourth Proportional to 342,815.22, 514,285.47 and 106,141.86

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Solution

The fourth proportional to 342,815.22, 514,285.47 and 106,141.86 is: 159,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,815.22 : 514,285.47 = 106,141.86 : x
  2. Step 2: Convert to fraction form
    342,815.22/514,285.47 = 106,141.86/x
  3. Step 3: Cross multiply
    342,815.22x = 514,285.47 × 106,141.86
  4. Step 4: Simplify right side
    342,815.22x = 54,587,216,356.77
  5. Step 5: Solve for x
    x = 54,587,216,356.77/342,815.22
  6. Step 6: Final answer
    x = 159,232.18

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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.