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Finding the Fourth Proportional to 187,219.50, 258,362.91 and 102,336.90

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Solution

The fourth proportional to 187,219.50, 258,362.91 and 102,336.90 is: 141,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,219.50 : 258,362.91 = 102,336.90 : x
  2. Step 2: Convert to fraction form
    187,219.50/258,362.91 = 102,336.90/x
  3. Step 3: Cross multiply
    187,219.50x = 258,362.91 × 102,336.90
  4. Step 4: Simplify right side
    187,219.50x = 26,440,059,284.38
  5. Step 5: Solve for x
    x = 26,440,059,284.38/187,219.50
  6. Step 6: Final answer
    x = 141,224.92

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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.