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Finding the Fourth Proportional to 164,827.80, 247,241.70 and 149,573.48

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Solution

The fourth proportional to 164,827.80, 247,241.70 and 149,573.48 is: 224,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,827.80 : 247,241.70 = 149,573.48 : x
  2. Step 2: Convert to fraction form
    164,827.80/247,241.70 = 149,573.48/x
  3. Step 3: Cross multiply
    164,827.80x = 247,241.70 × 149,573.48
  4. Step 4: Simplify right side
    164,827.80x = 36,980,800,233.91
  5. Step 5: Solve for x
    x = 36,980,800,233.91/164,827.80
  6. Step 6: Final answer
    x = 224,360.21

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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.