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Finding the Fourth Proportional to 137,228.18, 189,491.13 and 86,257.32

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Solution

The fourth proportional to 137,228.18, 189,491.13 and 86,257.32 is: 119,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,228.18 : 189,491.13 = 86,257.32 : x
  2. Step 2: Convert to fraction form
    137,228.18/189,491.13 = 86,257.32/x
  3. Step 3: Cross multiply
    137,228.18x = 189,491.13 × 86,257.32
  4. Step 4: Simplify right side
    137,228.18x = 16,344,997,037.57
  5. Step 5: Solve for x
    x = 16,344,997,037.57/137,228.18
  6. Step 6: Final answer
    x = 119,108.17

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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.