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Finding the Fourth Proportional to 114,614.64, 171,959.33 and 57,659.16

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Solution

The fourth proportional to 114,614.64, 171,959.33 and 57,659.16 is: 86,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,614.64 : 171,959.33 = 57,659.16 : x
  2. Step 2: Convert to fraction form
    114,614.64/171,959.33 = 57,659.16/x
  3. Step 3: Cross multiply
    114,614.64x = 171,959.33 × 57,659.16
  4. Step 4: Simplify right side
    114,614.64x = 9,915,030,233.67
  5. Step 5: Solve for x
    x = 9,915,030,233.67/114,614.64
  6. Step 6: Final answer
    x = 86,507.54

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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.