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Finding the Fourth Proportional to 171,700.80, 257,551.20 and 97,051.20

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Solution

The fourth proportional to 171,700.80, 257,551.20 and 97,051.20 is: 145,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,700.80 : 257,551.20 = 97,051.20 : x
  2. Step 2: Convert to fraction form
    171,700.80/257,551.20 = 97,051.20/x
  3. Step 3: Cross multiply
    171,700.80x = 257,551.20 × 97,051.20
  4. Step 4: Simplify right side
    171,700.80x = 24,995,653,021.44
  5. Step 5: Solve for x
    x = 24,995,653,021.44/171,700.80
  6. Step 6: Final answer
    x = 145,576.80

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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.