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Finding the Fourth Proportional to 210,987.56, 291,163.20 and 115,494.32

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Solution

The fourth proportional to 210,987.56, 291,163.20 and 115,494.32 is: 159,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,987.56 : 291,163.20 = 115,494.32 : x
  2. Step 2: Convert to fraction form
    210,987.56/291,163.20 = 115,494.32/x
  3. Step 3: Cross multiply
    210,987.56x = 291,163.20 × 115,494.32
  4. Step 4: Simplify right side
    210,987.56x = 33,627,695,793.02
  5. Step 5: Solve for x
    x = 33,627,695,793.02/210,987.56
  6. Step 6: Final answer
    x = 159,382.36

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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.