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Finding the Fourth Proportional to 238,407.15, 328,921.62 and 135,027.24

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Solution

The fourth proportional to 238,407.15, 328,921.62 and 135,027.24 is: 186,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.15 : 328,921.62 = 135,027.24 : x
  2. Step 2: Convert to fraction form
    238,407.15/328,921.62 = 135,027.24/x
  3. Step 3: Cross multiply
    238,407.15x = 328,921.62 × 135,027.24
  4. Step 4: Simplify right side
    238,407.15x = 44,413,378,524.93
  5. Step 5: Solve for x
    x = 44,413,378,524.93/238,407.15
  6. Step 6: Final answer
    x = 186,292.14

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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.