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Finding the Fourth Proportional to 171,762.68, 257,381.27 and 91,812.02

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Solution

The fourth proportional to 171,762.68, 257,381.27 and 91,812.02 is: 137,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,762.68 : 257,381.27 = 91,812.02 : x
  2. Step 2: Convert to fraction form
    171,762.68/257,381.27 = 91,812.02/x
  3. Step 3: Cross multiply
    171,762.68x = 257,381.27 × 91,812.02
  4. Step 4: Simplify right side
    171,762.68x = 23,630,692,562.90
  5. Step 5: Solve for x
    x = 23,630,692,562.90/171,762.68
  6. Step 6: Final answer
    x = 137,577.58

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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.