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Finding the Fourth Proportional to 149,677.75, 224,552.50 and 49,838.84

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Solution

The fourth proportional to 149,677.75, 224,552.50 and 49,838.84 is: 74,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,677.75 : 224,552.50 = 49,838.84 : x
  2. Step 2: Convert to fraction form
    149,677.75/224,552.50 = 49,838.84/x
  3. Step 3: Cross multiply
    149,677.75x = 224,552.50 × 49,838.84
  4. Step 4: Simplify right side
    149,677.75x = 11,191,437,257.26
  5. Step 5: Solve for x
    x = 11,191,437,257.26/149,677.75
  6. Step 6: Final answer
    x = 74,770.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.