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Finding the Fourth Proportional to 210,998.50, 291,177.91 and 114,202.34

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Solution

The fourth proportional to 210,998.50, 291,177.91 and 114,202.34 is: 157,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,998.50 : 291,177.91 = 114,202.34 : x
  2. Step 2: Convert to fraction form
    210,998.50/291,177.91 = 114,202.34/x
  3. Step 3: Cross multiply
    210,998.50x = 291,177.91 × 114,202.34
  4. Step 4: Simplify right side
    210,998.50x = 33,253,198,052.94
  5. Step 5: Solve for x
    x = 33,253,198,052.94/210,998.50
  6. Step 6: Final answer
    x = 157,599.22

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