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Finding the Fourth Proportional to 114,551.71, 171,741.16 and 75,118.75

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Solution

The fourth proportional to 114,551.71, 171,741.16 and 75,118.75 is: 112,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,551.71 : 171,741.16 = 75,118.75 : x
  2. Step 2: Convert to fraction form
    114,551.71/171,741.16 = 75,118.75/x
  3. Step 3: Cross multiply
    114,551.71x = 171,741.16 × 75,118.75
  4. Step 4: Simplify right side
    114,551.71x = 12,900,981,262.75
  5. Step 5: Solve for x
    x = 12,900,981,262.75/114,551.71
  6. Step 6: Final answer
    x = 112,621.46

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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.