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Finding the Fourth Proportional to 164,857.20, 247,285.80 and 59,638.20

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Solution

The fourth proportional to 164,857.20, 247,285.80 and 59,638.20 is: 89,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.20 : 247,285.80 = 59,638.20 : x
  2. Step 2: Convert to fraction form
    164,857.20/247,285.80 = 59,638.20/x
  3. Step 3: Cross multiply
    164,857.20x = 247,285.80 × 59,638.20
  4. Step 4: Simplify right side
    164,857.20x = 14,747,679,997.56
  5. Step 5: Solve for x
    x = 14,747,679,997.56/164,857.20
  6. Step 6: Final answer
    x = 89,457.30

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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.