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Finding the Fourth Proportional to 171,548.46, 257,259.51 and 59,200.02

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Solution

The fourth proportional to 171,548.46, 257,259.51 and 59,200.02 is: 88,778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,548.46 : 257,259.51 = 59,200.02 : x
  2. Step 2: Convert to fraction form
    171,548.46/257,259.51 = 59,200.02/x
  3. Step 3: Cross multiply
    171,548.46x = 257,259.51 × 59,200.02
  4. Step 4: Simplify right side
    171,548.46x = 15,229,768,137.19
  5. Step 5: Solve for x
    x = 15,229,768,137.19/171,548.46
  6. Step 6: Final answer
    x = 88,778.23

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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.