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Finding the Fourth Proportional to 120,054, 165,674.52 and 67,062

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Solution

The fourth proportional to 120,054, 165,674.52 and 67,062 is: 92,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,054 : 165,674.52 = 67,062 : x
  2. Step 2: Convert to fraction form
    120,054/165,674.52 = 67,062/x
  3. Step 3: Cross multiply
    120,054x = 165,674.52 × 67,062
  4. Step 4: Simplify right side
    120,054x = 11,110,464,660.24
  5. Step 5: Solve for x
    x = 11,110,464,660.24/120,054
  6. Step 6: Final answer
    x = 92,545.56

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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.