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Finding the Fourth Proportional to 114,165.75, 171,326.52 and 40,293.75

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Solution

The fourth proportional to 114,165.75, 171,326.52 and 40,293.75 is: 60,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.75 : 171,326.52 = 40,293.75 : x
  2. Step 2: Convert to fraction form
    114,165.75/171,326.52 = 40,293.75/x
  3. Step 3: Cross multiply
    114,165.75x = 171,326.52 × 40,293.75
  4. Step 4: Simplify right side
    114,165.75x = 6,903,387,965.25
  5. Step 5: Solve for x
    x = 6,903,387,965.25/114,165.75
  6. Step 6: Final answer
    x = 60,468.12

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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.