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Finding the Fourth Proportional to 137,797.68, 190,070.52 and 99,494.16

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Solution

The fourth proportional to 137,797.68, 190,070.52 and 99,494.16 is: 137,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.68 : 190,070.52 = 99,494.16 : x
  2. Step 2: Convert to fraction form
    137,797.68/190,070.52 = 99,494.16/x
  3. Step 3: Cross multiply
    137,797.68x = 190,070.52 × 99,494.16
  4. Step 4: Simplify right side
    137,797.68x = 18,910,906,728.16
  5. Step 5: Solve for x
    x = 18,910,906,728.16/137,797.68
  6. Step 6: Final answer
    x = 137,236.76

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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.