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Finding the Fourth Proportional to 114,355.96, 171,442.30 and 54,354.32

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Solution

The fourth proportional to 114,355.96, 171,442.30 and 54,354.32 is: 81,487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,355.96 : 171,442.30 = 54,354.32 : x
  2. Step 2: Convert to fraction form
    114,355.96/171,442.30 = 54,354.32/x
  3. Step 3: Cross multiply
    114,355.96x = 171,442.30 × 54,354.32
  4. Step 4: Simplify right side
    114,355.96x = 9,318,629,635.74
  5. Step 5: Solve for x
    x = 9,318,629,635.74/114,355.96
  6. Step 6: Final answer
    x = 81,487.92

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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.