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Finding the Fourth Proportional to 187,210, 258,349.68 and 102,327.04

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Solution

The fourth proportional to 187,210, 258,349.68 and 102,327.04 is: 141,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,210 : 258,349.68 = 102,327.04 : x
  2. Step 2: Convert to fraction form
    187,210/258,349.68 = 102,327.04/x
  3. Step 3: Cross multiply
    187,210x = 258,349.68 × 102,327.04
  4. Step 4: Simplify right side
    187,210x = 26,436,158,039.35
  5. Step 5: Solve for x
    x = 26,436,158,039.35/187,210
  6. Step 6: Final answer
    x = 141,211.25

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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.