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Finding the Fourth Proportional to 164,817.89, 247,264.13 and 52,504.51

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Solution

The fourth proportional to 164,817.89, 247,264.13 and 52,504.51 is: 78,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,817.89 : 247,264.13 = 52,504.51 : x
  2. Step 2: Convert to fraction form
    164,817.89/247,264.13 = 52,504.51/x
  3. Step 3: Cross multiply
    164,817.89x = 247,264.13 × 52,504.51
  4. Step 4: Simplify right side
    164,817.89x = 12,982,481,986.23
  5. Step 5: Solve for x
    x = 12,982,481,986.23/164,817.89
  6. Step 6: Final answer
    x = 78,768.65

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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.