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Finding the Fourth Proportional to 171,782.28, 257,691.06 and 59,462.32

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Solution

The fourth proportional to 171,782.28, 257,691.06 and 59,462.32 is: 89,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,782.28 : 257,691.06 = 59,462.32 : x
  2. Step 2: Convert to fraction form
    171,782.28/257,691.06 = 59,462.32/x
  3. Step 3: Cross multiply
    171,782.28x = 257,691.06 × 59,462.32
  4. Step 4: Simplify right side
    171,782.28x = 15,322,908,270.86
  5. Step 5: Solve for x
    x = 15,322,908,270.86/171,782.28
  6. Step 6: Final answer
    x = 89,199.59

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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.