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Finding the Fourth Proportional to 152,471.01, 210,610.62 and 117,098.09

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Solution

The fourth proportional to 152,471.01, 210,610.62 and 117,098.09 is: 161,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,471.01 : 210,610.62 = 117,098.09 : x
  2. Step 2: Convert to fraction form
    152,471.01/210,610.62 = 117,098.09/x
  3. Step 3: Cross multiply
    152,471.01x = 210,610.62 × 117,098.09
  4. Step 4: Simplify right side
    152,471.01x = 24,662,100,282.66
  5. Step 5: Solve for x
    x = 24,662,100,282.66/152,471.01
  6. Step 6: Final answer
    x = 161,749.44

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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.