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Finding the Fourth Proportional to 171,904, 257,862.48 and 53,574.88

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Solution

The fourth proportional to 171,904, 257,862.48 and 53,574.88 is: 80,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,904 : 257,862.48 = 53,574.88 : x
  2. Step 2: Convert to fraction form
    171,904/257,862.48 = 53,574.88/x
  3. Step 3: Cross multiply
    171,904x = 257,862.48 × 53,574.88
  4. Step 4: Simplify right side
    171,904x = 13,814,951,422.50
  5. Step 5: Solve for x
    x = 13,814,951,422.50/171,904
  6. Step 6: Final answer
    x = 80,364.34

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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.