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Finding the Fourth Proportional to 114,185.76, 171,081.77 and 75,693.66

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Solution

The fourth proportional to 114,185.76, 171,081.77 and 75,693.66 is: 113,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,185.76 : 171,081.77 = 75,693.66 : x
  2. Step 2: Convert to fraction form
    114,185.76/171,081.77 = 75,693.66/x
  3. Step 3: Cross multiply
    114,185.76x = 171,081.77 × 75,693.66
  4. Step 4: Simplify right side
    114,185.76x = 12,949,804,952.11
  5. Step 5: Solve for x
    x = 12,949,804,952.11/114,185.76
  6. Step 6: Final answer
    x = 113,409.98

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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.