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Finding the Fourth Proportional to 137,684.97, 189,651.23 and 97,329.33

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Solution

The fourth proportional to 137,684.97, 189,651.23 and 97,329.33 is: 134,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,684.97 : 189,651.23 = 97,329.33 : x
  2. Step 2: Convert to fraction form
    137,684.97/189,651.23 = 97,329.33/x
  3. Step 3: Cross multiply
    137,684.97x = 189,651.23 × 97,329.33
  4. Step 4: Simplify right side
    137,684.97x = 18,458,625,714.67
  5. Step 5: Solve for x
    x = 18,458,625,714.67/137,684.97
  6. Step 6: Final answer
    x = 134,064.21

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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.