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Finding the Fourth Proportional to 187,371.84, 258,577 and 102,494.40

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Solution

The fourth proportional to 187,371.84, 258,577 and 102,494.40 is: 141,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,371.84 : 258,577 = 102,494.40 : x
  2. Step 2: Convert to fraction form
    187,371.84/258,577 = 102,494.40/x
  3. Step 3: Cross multiply
    187,371.84x = 258,577 × 102,494.40
  4. Step 4: Simplify right side
    187,371.84x = 26,502,694,468.80
  5. Step 5: Solve for x
    x = 26,502,694,468.80/187,371.84
  6. Step 6: Final answer
    x = 141,444.38

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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.