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Finding the Fourth Proportional to 227,001.56, 313,257.58 and 142,165.40

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Solution

The fourth proportional to 227,001.56, 313,257.58 and 142,165.40 is: 196,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,001.56 : 313,257.58 = 142,165.40 : x
  2. Step 2: Convert to fraction form
    227,001.56/313,257.58 = 142,165.40/x
  3. Step 3: Cross multiply
    227,001.56x = 313,257.58 × 142,165.40
  4. Step 4: Simplify right side
    227,001.56x = 44,534,387,242.03
  5. Step 5: Solve for x
    x = 44,534,387,242.03/227,001.56
  6. Step 6: Final answer
    x = 196,185.38

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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.