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Finding the Fourth Proportional to 149,294.39, 223,973.17 and 49,448.93

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Solution

The fourth proportional to 149,294.39, 223,973.17 and 49,448.93 is: 74,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,294.39 : 223,973.17 = 49,448.93 : x
  2. Step 2: Convert to fraction form
    149,294.39/223,973.17 = 49,448.93/x
  3. Step 3: Cross multiply
    149,294.39x = 223,973.17 × 49,448.93
  4. Step 4: Simplify right side
    149,294.39x = 11,075,232,361.72
  5. Step 5: Solve for x
    x = 11,075,232,361.72/149,294.39
  6. Step 6: Final answer
    x = 74,183.85

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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.