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Finding the Fourth Proportional to 171,695.48, 257,211.10 and 96,587.40

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Solution

The fourth proportional to 171,695.48, 257,211.10 and 96,587.40 is: 144,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,695.48 : 257,211.10 = 96,587.40 : x
  2. Step 2: Convert to fraction form
    171,695.48/257,211.10 = 96,587.40/x
  3. Step 3: Cross multiply
    171,695.48x = 257,211.10 × 96,587.40
  4. Step 4: Simplify right side
    171,695.48x = 24,843,351,400.14
  5. Step 5: Solve for x
    x = 24,843,351,400.14/171,695.48
  6. Step 6: Final answer
    x = 144,694.27

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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.