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Finding the Fourth Proportional to 202,345.85, 279,217.35 and 111,695.96

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Solution

The fourth proportional to 202,345.85, 279,217.35 and 111,695.96 is: 154,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,345.85 : 279,217.35 = 111,695.96 : x
  2. Step 2: Convert to fraction form
    202,345.85/279,217.35 = 111,695.96/x
  3. Step 3: Cross multiply
    202,345.85x = 279,217.35 × 111,695.96
  4. Step 4: Simplify right side
    202,345.85x = 31,187,448,560.82
  5. Step 5: Solve for x
    x = 31,187,448,560.82/202,345.85
  6. Step 6: Final answer
    x = 154,129.42

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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.