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Finding the Fourth Proportional to 164,966.24, 247,463.22 and 52,662.48

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Solution

The fourth proportional to 164,966.24, 247,463.22 and 52,662.48 is: 78,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,966.24 : 247,463.22 = 52,662.48 : x
  2. Step 2: Convert to fraction form
    164,966.24/247,463.22 = 52,662.48/x
  3. Step 3: Cross multiply
    164,966.24x = 247,463.22 × 52,662.48
  4. Step 4: Simplify right side
    164,966.24x = 13,032,026,873.99
  5. Step 5: Solve for x
    x = 13,032,026,873.99/164,966.24
  6. Step 6: Final answer
    x = 78,998.14

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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.