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Finding the Fourth Proportional to 164,776, 247,163.84 and 142,523.22

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Solution

The fourth proportional to 164,776, 247,163.84 and 142,523.22 is: 213,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,776 : 247,163.84 = 142,523.22 : x
  2. Step 2: Convert to fraction form
    164,776/247,163.84 = 142,523.22/x
  3. Step 3: Cross multiply
    164,776x = 247,163.84 × 142,523.22
  4. Step 4: Simplify right side
    164,776x = 35,226,586,344.36
  5. Step 5: Solve for x
    x = 35,226,586,344.36/164,776
  6. Step 6: Final answer
    x = 213,784.69

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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.