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Finding the Fourth Proportional to 137,136.65, 189,365.38 and 86,234.56

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Solution

The fourth proportional to 137,136.65, 189,365.38 and 86,234.56 is: 119,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,136.65 : 189,365.38 = 86,234.56 : x
  2. Step 2: Convert to fraction form
    137,136.65/189,365.38 = 86,234.56/x
  3. Step 3: Cross multiply
    137,136.65x = 189,365.38 × 86,234.56
  4. Step 4: Simplify right side
    137,136.65x = 16,329,839,534.53
  5. Step 5: Solve for x
    x = 16,329,839,534.53/137,136.65
  6. Step 6: Final answer
    x = 119,077.14

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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.