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Finding the Fourth Proportional to 164,029.05, 246,053.70 and 51,713.10

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Solution

The fourth proportional to 164,029.05, 246,053.70 and 51,713.10 is: 77,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,029.05 : 246,053.70 = 51,713.10 : x
  2. Step 2: Convert to fraction form
    164,029.05/246,053.70 = 51,713.10/x
  3. Step 3: Cross multiply
    164,029.05x = 246,053.70 × 51,713.10
  4. Step 4: Simplify right side
    164,029.05x = 12,724,199,593.47
  5. Step 5: Solve for x
    x = 12,724,199,593.47/164,029.05
  6. Step 6: Final answer
    x = 77,572.84

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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.