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Finding the Fourth Proportional to 99,777, 149,690.16 and 29,656.02

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Solution

The fourth proportional to 99,777, 149,690.16 and 29,656.02 is: 44,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777 : 149,690.16 = 29,656.02 : x
  2. Step 2: Convert to fraction form
    99,777/149,690.16 = 29,656.02/x
  3. Step 3: Cross multiply
    99,777x = 149,690.16 × 29,656.02
  4. Step 4: Simplify right side
    99,777x = 4,439,214,378.76
  5. Step 5: Solve for x
    x = 4,439,214,378.76/99,777
  6. Step 6: Final answer
    x = 44,491.36

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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.