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Finding the Fourth Proportional to 99,471.78, 149,222.25 and 29,341.98

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Solution

The fourth proportional to 99,471.78, 149,222.25 and 29,341.98 is: 44,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471.78 : 149,222.25 = 29,341.98 : x
  2. Step 2: Convert to fraction form
    99,471.78/149,222.25 = 29,341.98/x
  3. Step 3: Cross multiply
    99,471.78x = 149,222.25 × 29,341.98
  4. Step 4: Simplify right side
    99,471.78x = 4,378,476,275.06
  5. Step 5: Solve for x
    x = 4,378,476,275.06/99,471.78
  6. Step 6: Final answer
    x = 44,017.27

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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.