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Finding the Fourth Proportional to 287,536.96, 431,305.44 and 110,098.36

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Solution

The fourth proportional to 287,536.96, 431,305.44 and 110,098.36 is: 165,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,536.96 : 431,305.44 = 110,098.36 : x
  2. Step 2: Convert to fraction form
    287,536.96/431,305.44 = 110,098.36/x
  3. Step 3: Cross multiply
    287,536.96x = 431,305.44 × 110,098.36
  4. Step 4: Simplify right side
    287,536.96x = 47,486,021,603.08
  5. Step 5: Solve for x
    x = 47,486,021,603.08/287,536.96
  6. Step 6: Final answer
    x = 165,147.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.