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Finding the Fourth Proportional to 187,469.43, 258,707.84 and 102,586.50

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Solution

The fourth proportional to 187,469.43, 258,707.84 and 102,586.50 is: 141,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,469.43 : 258,707.84 = 102,586.50 : x
  2. Step 2: Convert to fraction form
    187,469.43/258,707.84 = 102,586.50/x
  3. Step 3: Cross multiply
    187,469.43x = 258,707.84 × 102,586.50
  4. Step 4: Simplify right side
    187,469.43x = 26,539,931,315.23
  5. Step 5: Solve for x
    x = 26,539,931,315.23/187,469.43
  6. Step 6: Final answer
    x = 141,569.38

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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.