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Finding the Fourth Proportional to 171,837.36, 257,760.36 and 47,178

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Solution

The fourth proportional to 171,837.36, 257,760.36 and 47,178 is: 70,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,837.36 : 257,760.36 = 47,178 : x
  2. Step 2: Convert to fraction form
    171,837.36/257,760.36 = 47,178/x
  3. Step 3: Cross multiply
    171,837.36x = 257,760.36 × 47,178
  4. Step 4: Simplify right side
    171,837.36x = 12,160,618,264.08
  5. Step 5: Solve for x
    x = 12,160,618,264.08/171,837.36
  6. Step 6: Final answer
    x = 70,768.19

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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.