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Finding the Fourth Proportional to 169,214.61, 233,454.38 and 101,233.54

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Solution

The fourth proportional to 169,214.61, 233,454.38 and 101,233.54 is: 139,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,214.61 : 233,454.38 = 101,233.54 : x
  2. Step 2: Convert to fraction form
    169,214.61/233,454.38 = 101,233.54/x
  3. Step 3: Cross multiply
    169,214.61x = 233,454.38 × 101,233.54
  4. Step 4: Simplify right side
    169,214.61x = 23,633,413,315.91
  5. Step 5: Solve for x
    x = 23,633,413,315.91/169,214.61
  6. Step 6: Final answer
    x = 139,665.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.