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Finding the Fourth Proportional to 119,078.46, 164,334.12 and 65,362.92

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Solution

The fourth proportional to 119,078.46, 164,334.12 and 65,362.92 is: 90,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,078.46 : 164,334.12 = 65,362.92 : x
  2. Step 2: Convert to fraction form
    119,078.46/164,334.12 = 65,362.92/x
  3. Step 3: Cross multiply
    119,078.46x = 164,334.12 × 65,362.92
  4. Step 4: Simplify right side
    119,078.46x = 10,741,357,938.83
  5. Step 5: Solve for x
    x = 10,741,357,938.83/119,078.46
  6. Step 6: Final answer
    x = 90,204.04

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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.