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Finding the Fourth Proportional to 171,307, 257,061.75 and 95,468.86

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Solution

The fourth proportional to 171,307, 257,061.75 and 95,468.86 is: 143,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,307 : 257,061.75 = 95,468.86 : x
  2. Step 2: Convert to fraction form
    171,307/257,061.75 = 95,468.86/x
  3. Step 3: Cross multiply
    171,307x = 257,061.75 × 95,468.86
  4. Step 4: Simplify right side
    171,307x = 24,541,392,222.11
  5. Step 5: Solve for x
    x = 24,541,392,222.11/171,307
  6. Step 6: Final answer
    x = 143,259.72

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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.