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Finding the Fourth Proportional to 301,098.38, 451,822.52 and 134,886.38

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Solution

The fourth proportional to 301,098.38, 451,822.52 and 134,886.38 is: 202,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.38 : 451,822.52 = 134,886.38 : x
  2. Step 2: Convert to fraction form
    301,098.38/451,822.52 = 134,886.38/x
  3. Step 3: Cross multiply
    301,098.38x = 451,822.52 × 134,886.38
  4. Step 4: Simplify right side
    301,098.38x = 60,944,702,203.38
  5. Step 5: Solve for x
    x = 60,944,702,203.38/301,098.38
  6. Step 6: Final answer
    x = 202,407.94

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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.