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Finding the Fourth Proportional to 104,872.41, 157,189.95 and 51,449.67

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Solution

The fourth proportional to 104,872.41, 157,189.95 and 51,449.67 is: 77,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,872.41 : 157,189.95 = 51,449.67 : x
  2. Step 2: Convert to fraction form
    104,872.41/157,189.95 = 51,449.67/x
  3. Step 3: Cross multiply
    104,872.41x = 157,189.95 × 51,449.67
  4. Step 4: Simplify right side
    104,872.41x = 8,087,371,054.82
  5. Step 5: Solve for x
    x = 8,087,371,054.82/104,872.41
  6. Step 6: Final answer
    x = 77,116.29

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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.