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Finding the Fourth Proportional to 171,965.18, 257,714.48 and 97,048.28

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Solution

The fourth proportional to 171,965.18, 257,714.48 and 97,048.28 is: 145,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,965.18 : 257,714.48 = 97,048.28 : x
  2. Step 2: Convert to fraction form
    171,965.18/257,714.48 = 97,048.28/x
  3. Step 3: Cross multiply
    171,965.18x = 257,714.48 × 97,048.28
  4. Step 4: Simplify right side
    171,965.18x = 25,010,745,241.28
  5. Step 5: Solve for x
    x = 25,010,745,241.28/171,965.18
  6. Step 6: Final answer
    x = 145,440.76

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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.