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Finding the Fourth Proportional to 237,643.31, 356,346.35 and 77,698.41

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Solution

The fourth proportional to 237,643.31, 356,346.35 and 77,698.41 is: 116,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643.31 : 356,346.35 = 77,698.41 : x
  2. Step 2: Convert to fraction form
    237,643.31/356,346.35 = 77,698.41/x
  3. Step 3: Cross multiply
    237,643.31x = 356,346.35 × 77,698.41
  4. Step 4: Simplify right side
    237,643.31x = 27,687,542,828.33
  5. Step 5: Solve for x
    x = 27,687,542,828.33/237,643.31
  6. Step 6: Final answer
    x = 116,508.83

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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.