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Finding the Fourth Proportional to 99,503.40, 149,212.98 and 29,363.88

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Solution

The fourth proportional to 99,503.40, 149,212.98 and 29,363.88 is: 44,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,503.40 : 149,212.98 = 29,363.88 : x
  2. Step 2: Convert to fraction form
    99,503.40/149,212.98 = 29,363.88/x
  3. Step 3: Cross multiply
    99,503.40x = 149,212.98 × 29,363.88
  4. Step 4: Simplify right side
    99,503.40x = 4,381,472,039.16
  5. Step 5: Solve for x
    x = 4,381,472,039.16/99,503.40
  6. Step 6: Final answer
    x = 44,033.39

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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.