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Finding the Fourth Proportional to 171,464.32, 257,102.52 and 53,102.80

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Solution

The fourth proportional to 171,464.32, 257,102.52 and 53,102.80 is: 79,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,464.32 : 257,102.52 = 53,102.80 : x
  2. Step 2: Convert to fraction form
    171,464.32/257,102.52 = 53,102.80/x
  3. Step 3: Cross multiply
    171,464.32x = 257,102.52 × 53,102.80
  4. Step 4: Simplify right side
    171,464.32x = 13,652,863,699.06
  5. Step 5: Solve for x
    x = 13,652,863,699.06/171,464.32
  6. Step 6: Final answer
    x = 79,625.10

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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.