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Finding the Fourth Proportional to 196,008.68, 293,754.67 and 77,615.43

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Solution

The fourth proportional to 196,008.68, 293,754.67 and 77,615.43 is: 116,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,008.68 : 293,754.67 = 77,615.43 : x
  2. Step 2: Convert to fraction form
    196,008.68/293,754.67 = 77,615.43/x
  3. Step 3: Cross multiply
    196,008.68x = 293,754.67 × 77,615.43
  4. Step 4: Simplify right side
    196,008.68x = 22,799,895,026.56
  5. Step 5: Solve for x
    x = 22,799,895,026.56/196,008.68
  6. Step 6: Final answer
    x = 116,320.85

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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.