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Finding the Fourth Proportional to 292,436.82, 403,540.29 and 165,124.98

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Solution

The fourth proportional to 292,436.82, 403,540.29 and 165,124.98 is: 227,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,436.82 : 403,540.29 = 165,124.98 : x
  2. Step 2: Convert to fraction form
    292,436.82/403,540.29 = 165,124.98/x
  3. Step 3: Cross multiply
    292,436.82x = 403,540.29 × 165,124.98
  4. Step 4: Simplify right side
    292,436.82x = 66,634,582,315.44
  5. Step 5: Solve for x
    x = 66,634,582,315.44/292,436.82
  6. Step 6: Final answer
    x = 227,859.76

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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.