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Finding the Fourth Proportional to 187,136.46, 258,248.04 and 106,564

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Solution

The fourth proportional to 187,136.46, 258,248.04 and 106,564 is: 147,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,136.46 : 258,248.04 = 106,564 : x
  2. Step 2: Convert to fraction form
    187,136.46/258,248.04 = 106,564/x
  3. Step 3: Cross multiply
    187,136.46x = 258,248.04 × 106,564
  4. Step 4: Simplify right side
    187,136.46x = 27,519,944,134.56
  5. Step 5: Solve for x
    x = 27,519,944,134.56/187,136.46
  6. Step 6: Final answer
    x = 147,058.16

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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.