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Finding the Fourth Proportional to 119,393.06, 164,761.24 and 65,678.14

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Solution

The fourth proportional to 119,393.06, 164,761.24 and 65,678.14 is: 90,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,393.06 : 164,761.24 = 65,678.14 : x
  2. Step 2: Convert to fraction form
    119,393.06/164,761.24 = 65,678.14/x
  3. Step 3: Cross multiply
    119,393.06x = 164,761.24 × 65,678.14
  4. Step 4: Simplify right side
    119,393.06x = 10,821,211,787.29
  5. Step 5: Solve for x
    x = 10,821,211,787.29/119,393.06
  6. Step 6: Final answer
    x = 90,635.18

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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.