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Finding the Fourth Proportional to 257,184.78, 354,832.92 and 166,610.16

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Solution

The fourth proportional to 257,184.78, 354,832.92 and 166,610.16 is: 229,868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,184.78 : 354,832.92 = 166,610.16 : x
  2. Step 2: Convert to fraction form
    257,184.78/354,832.92 = 166,610.16/x
  3. Step 3: Cross multiply
    257,184.78x = 354,832.92 × 166,610.16
  4. Step 4: Simplify right side
    257,184.78x = 59,118,769,574.47
  5. Step 5: Solve for x
    x = 59,118,769,574.47/257,184.78
  6. Step 6: Final answer
    x = 229,868.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.