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Finding the Fourth Proportional to 164,449, 246,712.50 and 53,641

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Solution

The fourth proportional to 164,449, 246,712.50 and 53,641 is: 80,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,449 : 246,712.50 = 53,641 : x
  2. Step 2: Convert to fraction form
    164,449/246,712.50 = 53,641/x
  3. Step 3: Cross multiply
    164,449x = 246,712.50 × 53,641
  4. Step 4: Simplify right side
    164,449x = 13,233,905,212.50
  5. Step 5: Solve for x
    x = 13,233,905,212.50/164,449
  6. Step 6: Final answer
    x = 80,474.22

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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.