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Finding the Fourth Proportional to 149,886.96, 224,865.76 and 48,684.56

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Solution

The fourth proportional to 149,886.96, 224,865.76 and 48,684.56 is: 73,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886.96 : 224,865.76 = 48,684.56 : x
  2. Step 2: Convert to fraction form
    149,886.96/224,865.76 = 48,684.56/x
  3. Step 3: Cross multiply
    149,886.96x = 224,865.76 × 48,684.56
  4. Step 4: Simplify right side
    149,886.96x = 10,947,490,584.67
  5. Step 5: Solve for x
    x = 10,947,490,584.67/149,886.96
  6. Step 6: Final answer
    x = 73,038.31

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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.