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Finding the Fourth Proportional to 116,114.31, 174,188.85 and 41,228.22

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Solution

The fourth proportional to 116,114.31, 174,188.85 and 41,228.22 is: 61,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.31 : 174,188.85 = 41,228.22 : x
  2. Step 2: Convert to fraction form
    116,114.31/174,188.85 = 41,228.22/x
  3. Step 3: Cross multiply
    116,114.31x = 174,188.85 × 41,228.22
  4. Step 4: Simplify right side
    116,114.31x = 7,181,496,229.35
  5. Step 5: Solve for x
    x = 7,181,496,229.35/116,114.31
  6. Step 6: Final answer
    x = 61,848.50

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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.