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Finding the Fourth Proportional to 207,171.10, 310,755.76 and 57,410.96

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Solution

The fourth proportional to 207,171.10, 310,755.76 and 57,410.96 is: 86,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,171.10 : 310,755.76 = 57,410.96 : x
  2. Step 2: Convert to fraction form
    207,171.10/310,755.76 = 57,410.96/x
  3. Step 3: Cross multiply
    207,171.10x = 310,755.76 × 57,410.96
  4. Step 4: Simplify right side
    207,171.10x = 17,840,784,666.30
  5. Step 5: Solve for x
    x = 17,840,784,666.30/207,171.10
  6. Step 6: Final answer
    x = 86,116.19

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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.