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Finding the Fourth Proportional to 232,718.74, 349,029.10 and 106,323.10

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Solution

The fourth proportional to 232,718.74, 349,029.10 and 106,323.10 is: 159,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,718.74 : 349,029.10 = 106,323.10 : x
  2. Step 2: Convert to fraction form
    232,718.74/349,029.10 = 106,323.10/x
  3. Step 3: Cross multiply
    232,718.74x = 349,029.10 × 106,323.10
  4. Step 4: Simplify right side
    232,718.74x = 37,109,855,162.54
  5. Step 5: Solve for x
    x = 37,109,855,162.54/232,718.74
  6. Step 6: Final answer
    x = 159,462.26

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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.