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Finding the Fourth Proportional to 137,037.84, 189,143.82 and 89,207.88

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Solution

The fourth proportional to 137,037.84, 189,143.82 and 89,207.88 is: 123,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037.84 : 189,143.82 = 89,207.88 : x
  2. Step 2: Convert to fraction form
    137,037.84/189,143.82 = 89,207.88/x
  3. Step 3: Cross multiply
    137,037.84x = 189,143.82 × 89,207.88
  4. Step 4: Simplify right side
    137,037.84x = 16,873,119,197.30
  5. Step 5: Solve for x
    x = 16,873,119,197.30/137,037.84
  6. Step 6: Final answer
    x = 123,127.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.