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Finding the Fourth Proportional to 171,849.20, 257,838.60 and 83,181.20

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Solution

The fourth proportional to 171,849.20, 257,838.60 and 83,181.20 is: 124,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,849.20 : 257,838.60 = 83,181.20 : x
  2. Step 2: Convert to fraction form
    171,849.20/257,838.60 = 83,181.20/x
  3. Step 3: Cross multiply
    171,849.20x = 257,838.60 × 83,181.20
  4. Step 4: Simplify right side
    171,849.20x = 21,447,324,154.32
  5. Step 5: Solve for x
    x = 21,447,324,154.32/171,849.20
  6. Step 6: Final answer
    x = 124,803.17

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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.