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Finding the Fourth Proportional to 119,034.77, 164,269.22 and 65,323.26

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Solution

The fourth proportional to 119,034.77, 164,269.22 and 65,323.26 is: 90,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,034.77 : 164,269.22 = 65,323.26 : x
  2. Step 2: Convert to fraction form
    119,034.77/164,269.22 = 65,323.26/x
  3. Step 3: Cross multiply
    119,034.77x = 164,269.22 × 65,323.26
  4. Step 4: Simplify right side
    119,034.77x = 10,730,600,641.44
  5. Step 5: Solve for x
    x = 10,730,600,641.44/119,034.77
  6. Step 6: Final answer
    x = 90,146.78

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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.