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Finding the Fourth Proportional to 121,118.90, 166,970.84 and 85,197.42

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Solution

The fourth proportional to 121,118.90, 166,970.84 and 85,197.42 is: 117,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,118.90 : 166,970.84 = 85,197.42 : x
  2. Step 2: Convert to fraction form
    121,118.90/166,970.84 = 85,197.42/x
  3. Step 3: Cross multiply
    121,118.90x = 166,970.84 × 85,197.42
  4. Step 4: Simplify right side
    121,118.90x = 14,225,484,357.25
  5. Step 5: Solve for x
    x = 14,225,484,357.25/121,118.90
  6. Step 6: Final answer
    x = 117,450.58

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1.5x scale

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.