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Finding the Fourth Proportional to 171,862.64, 257,774.86 and 53,524.08

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Solution

The fourth proportional to 171,862.64, 257,774.86 and 53,524.08 is: 80,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,862.64 : 257,774.86 = 53,524.08 : x
  2. Step 2: Convert to fraction form
    171,862.64/257,774.86 = 53,524.08/x
  3. Step 3: Cross multiply
    171,862.64x = 257,774.86 × 53,524.08
  4. Step 4: Simplify right side
    171,862.64x = 13,797,162,228.63
  5. Step 5: Solve for x
    x = 13,797,162,228.63/171,862.64
  6. Step 6: Final answer
    x = 80,280.17

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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.