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Finding the Fourth Proportional to 174,896.91, 262,353.56 and 56,577.47

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Solution

The fourth proportional to 174,896.91, 262,353.56 and 56,577.47 is: 84,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,896.91 : 262,353.56 = 56,577.47 : x
  2. Step 2: Convert to fraction form
    174,896.91/262,353.56 = 56,577.47/x
  3. Step 3: Cross multiply
    174,896.91x = 262,353.56 × 56,577.47
  4. Step 4: Simplify right side
    174,896.91x = 14,843,301,724.84
  5. Step 5: Solve for x
    x = 14,843,301,724.84/174,896.91
  6. Step 6: Final answer
    x = 84,868.86

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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.