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Finding the Fourth Proportional to 171,609.40, 257,414.10 and 97,881.40

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Solution

The fourth proportional to 171,609.40, 257,414.10 and 97,881.40 is: 146,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,609.40 : 257,414.10 = 97,881.40 : x
  2. Step 2: Convert to fraction form
    171,609.40/257,414.10 = 97,881.40/x
  3. Step 3: Cross multiply
    171,609.40x = 257,414.10 × 97,881.40
  4. Step 4: Simplify right side
    171,609.40x = 25,196,052,487.74
  5. Step 5: Solve for x
    x = 25,196,052,487.74/171,609.40
  6. Step 6: Final answer
    x = 146,822.10

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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.