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Finding the Fourth Proportional to 114,774.30, 171,991.95 and 55,539.42

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Solution

The fourth proportional to 114,774.30, 171,991.95 and 55,539.42 is: 83,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,774.30 : 171,991.95 = 55,539.42 : x
  2. Step 2: Convert to fraction form
    114,774.30/171,991.95 = 55,539.42/x
  3. Step 3: Cross multiply
    114,774.30x = 171,991.95 × 55,539.42
  4. Step 4: Simplify right side
    114,774.30x = 9,552,333,147.67
  5. Step 5: Solve for x
    x = 9,552,333,147.67/114,774.30
  6. Step 6: Final answer
    x = 83,227.11

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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.