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Finding the Fourth Proportional to 120,970.40, 166,794 and 100,856.48

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Solution

The fourth proportional to 120,970.40, 166,794 and 100,856.48 is: 139,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970.40 : 166,794 = 100,856.48 : x
  2. Step 2: Convert to fraction form
    120,970.40/166,794 = 100,856.48/x
  3. Step 3: Cross multiply
    120,970.40x = 166,794 × 100,856.48
  4. Step 4: Simplify right side
    120,970.40x = 16,822,255,725.12
  5. Step 5: Solve for x
    x = 16,822,255,725.12/120,970.40
  6. Step 6: Final answer
    x = 139,060.93

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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.