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Finding the Fourth Proportional to 119,029.96, 164,249.38 and 71,282.08

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Solution

The fourth proportional to 119,029.96, 164,249.38 and 71,282.08 is: 98,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,029.96 : 164,249.38 = 71,282.08 : x
  2. Step 2: Convert to fraction form
    119,029.96/164,249.38 = 71,282.08/x
  3. Step 3: Cross multiply
    119,029.96x = 164,249.38 × 71,282.08
  4. Step 4: Simplify right side
    119,029.96x = 11,708,037,445.11
  5. Step 5: Solve for x
    x = 11,708,037,445.11/119,029.96
  6. Step 6: Final answer
    x = 98,362.11

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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.