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Finding the Fourth Proportional to 137,649.58, 189,755.36 and 97,292.14

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Solution

The fourth proportional to 137,649.58, 189,755.36 and 97,292.14 is: 134,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.58 : 189,755.36 = 97,292.14 : x
  2. Step 2: Convert to fraction form
    137,649.58/189,755.36 = 97,292.14/x
  3. Step 3: Cross multiply
    137,649.58x = 189,755.36 × 97,292.14
  4. Step 4: Simplify right side
    137,649.58x = 18,461,704,454.87
  5. Step 5: Solve for x
    x = 18,461,704,454.87/137,649.58
  6. Step 6: Final answer
    x = 134,121.04

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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.