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Finding the Fourth Proportional to 149,205.13, 223,815.13 and 42,604.90

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Solution

The fourth proportional to 149,205.13, 223,815.13 and 42,604.90 is: 63,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205.13 : 223,815.13 = 42,604.90 : x
  2. Step 2: Convert to fraction form
    149,205.13/223,815.13 = 42,604.90/x
  3. Step 3: Cross multiply
    149,205.13x = 223,815.13 × 42,604.90
  4. Step 4: Simplify right side
    149,205.13x = 9,535,621,232.14
  5. Step 5: Solve for x
    x = 9,535,621,232.14/149,205.13
  6. Step 6: Final answer
    x = 63,909.47

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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.