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Finding the Fourth Proportional to 187,459.29, 280,835.76 and 92,578.41

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Solution

The fourth proportional to 187,459.29, 280,835.76 and 92,578.41 is: 138,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,459.29 : 280,835.76 = 92,578.41 : x
  2. Step 2: Convert to fraction form
    187,459.29/280,835.76 = 92,578.41/x
  3. Step 3: Cross multiply
    187,459.29x = 280,835.76 × 92,578.41
  4. Step 4: Simplify right side
    187,459.29x = 25,999,328,131.94
  5. Step 5: Solve for x
    x = 25,999,328,131.94/187,459.29
  6. Step 6: Final answer
    x = 138,693.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.