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Finding the Fourth Proportional to 171,533.79, 257,288.31 and 53,202.06

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Solution

The fourth proportional to 171,533.79, 257,288.31 and 53,202.06 is: 79,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,533.79 : 257,288.31 = 53,202.06 : x
  2. Step 2: Convert to fraction form
    171,533.79/257,288.31 = 53,202.06/x
  3. Step 3: Cross multiply
    171,533.79x = 257,288.31 × 53,202.06
  4. Step 4: Simplify right side
    171,533.79x = 13,688,268,105.92
  5. Step 5: Solve for x
    x = 13,688,268,105.92/171,533.79
  6. Step 6: Final answer
    x = 79,799.25

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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.