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Finding the Fourth Proportional to 171,676.40, 257,428.20 and 101,577.20

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Solution

The fourth proportional to 171,676.40, 257,428.20 and 101,577.20 is: 152,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,676.40 : 257,428.20 = 101,577.20 : x
  2. Step 2: Convert to fraction form
    171,676.40/257,428.20 = 101,577.20/x
  3. Step 3: Cross multiply
    171,676.40x = 257,428.20 × 101,577.20
  4. Step 4: Simplify right side
    171,676.40x = 26,148,835,757.04
  5. Step 5: Solve for x
    x = 26,148,835,757.04/171,676.40
  6. Step 6: Final answer
    x = 152,314.68

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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.