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Finding the Fourth Proportional to 149,698.78, 224,501.40 and 49,835.62

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Solution

The fourth proportional to 149,698.78, 224,501.40 and 49,835.62 is: 74,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698.78 : 224,501.40 = 49,835.62 : x
  2. Step 2: Convert to fraction form
    149,698.78/224,501.40 = 49,835.62/x
  3. Step 3: Cross multiply
    149,698.78x = 224,501.40 × 49,835.62
  4. Step 4: Simplify right side
    149,698.78x = 11,188,166,459.87
  5. Step 5: Solve for x
    x = 11,188,166,459.87/149,698.78
  6. Step 6: Final answer
    x = 74,737.86

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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.