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Finding the Fourth Proportional to 137,611.12, 189,905.52 and 77,195.20

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Solution

The fourth proportional to 137,611.12, 189,905.52 and 77,195.20 is: 106,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,611.12 : 189,905.52 = 77,195.20 : x
  2. Step 2: Convert to fraction form
    137,611.12/189,905.52 = 77,195.20/x
  3. Step 3: Cross multiply
    137,611.12x = 189,905.52 × 77,195.20
  4. Step 4: Simplify right side
    137,611.12x = 14,659,794,597.50
  5. Step 5: Solve for x
    x = 14,659,794,597.50/137,611.12
  6. Step 6: Final answer
    x = 106,530.60

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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.