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Finding the Fourth Proportional to 99,774.80, 149,683.80 and 29,661.20

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Solution

The fourth proportional to 99,774.80, 149,683.80 and 29,661.20 is: 44,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.80 : 149,683.80 = 29,661.20 : x
  2. Step 2: Convert to fraction form
    99,774.80/149,683.80 = 29,661.20/x
  3. Step 3: Cross multiply
    99,774.80x = 149,683.80 × 29,661.20
  4. Step 4: Simplify right side
    99,774.80x = 4,439,801,128.56
  5. Step 5: Solve for x
    x = 4,439,801,128.56/99,774.80
  6. Step 6: Final answer
    x = 44,498.22

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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.