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Finding the Fourth Proportional to 149,638.48, 224,494.32 and 49,798.48

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Solution

The fourth proportional to 149,638.48, 224,494.32 and 49,798.48 is: 74,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,638.48 : 224,494.32 = 49,798.48 : x
  2. Step 2: Convert to fraction form
    149,638.48/224,494.32 = 49,798.48/x
  3. Step 3: Cross multiply
    149,638.48x = 224,494.32 × 49,798.48
  4. Step 4: Simplify right side
    149,638.48x = 11,179,475,904.63
  5. Step 5: Solve for x
    x = 11,179,475,904.63/149,638.48
  6. Step 6: Final answer
    x = 74,709.90

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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.