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Finding the Fourth Proportional to 257,169.75, 354,812.24 and 166,595.15

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Solution

The fourth proportional to 257,169.75, 354,812.24 and 166,595.15 is: 229,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,169.75 : 354,812.24 = 166,595.15 : x
  2. Step 2: Convert to fraction form
    257,169.75/354,812.24 = 166,595.15/x
  3. Step 3: Cross multiply
    257,169.75x = 354,812.24 × 166,595.15
  4. Step 4: Simplify right side
    257,169.75x = 59,109,996,987.06
  5. Step 5: Solve for x
    x = 59,109,996,987.06/257,169.75
  6. Step 6: Final answer
    x = 229,848.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.