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Finding the Fourth Proportional to 119,062.57, 164,309.37 and 65,347.12

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Solution

The fourth proportional to 119,062.57, 164,309.37 and 65,347.12 is: 90,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,062.57 : 164,309.37 = 65,347.12 : x
  2. Step 2: Convert to fraction form
    119,062.57/164,309.37 = 65,347.12/x
  3. Step 3: Cross multiply
    119,062.57x = 164,309.37 × 65,347.12
  4. Step 4: Simplify right side
    119,062.57x = 10,737,144,118.51
  5. Step 5: Solve for x
    x = 10,737,144,118.51/119,062.57
  6. Step 6: Final answer
    x = 90,180.68

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