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Finding the Fourth Proportional to 146,732.94, 202,539.69 and 86,301

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Solution

The fourth proportional to 146,732.94, 202,539.69 and 86,301 is: 119,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,732.94 : 202,539.69 = 86,301 : x
  2. Step 2: Convert to fraction form
    146,732.94/202,539.69 = 86,301/x
  3. Step 3: Cross multiply
    146,732.94x = 202,539.69 × 86,301
  4. Step 4: Simplify right side
    146,732.94x = 17,479,377,786.69
  5. Step 5: Solve for x
    x = 17,479,377,786.69/146,732.94
  6. Step 6: Final answer
    x = 119,123.75

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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.