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Finding the Fourth Proportional to 104,434, 144,118.92 and 59,722

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Solution

The fourth proportional to 104,434, 144,118.92 and 59,722 is: 82,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,434 : 144,118.92 = 59,722 : x
  2. Step 2: Convert to fraction form
    104,434/144,118.92 = 59,722/x
  3. Step 3: Cross multiply
    104,434x = 144,118.92 × 59,722
  4. Step 4: Simplify right side
    104,434x = 8,607,070,140.24
  5. Step 5: Solve for x
    x = 8,607,070,140.24/104,434
  6. Step 6: Final answer
    x = 82,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.