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Finding the Fourth Proportional to 338,725.54, 508,088.69 and 114,067.16

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Solution

The fourth proportional to 338,725.54, 508,088.69 and 114,067.16 is: 171,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,725.54 : 508,088.69 = 114,067.16 : x
  2. Step 2: Convert to fraction form
    338,725.54/508,088.69 = 114,067.16/x
  3. Step 3: Cross multiply
    338,725.54x = 508,088.69 × 114,067.16
  4. Step 4: Simplify right side
    338,725.54x = 57,956,230,785.64
  5. Step 5: Solve for x
    x = 57,956,230,785.64/338,725.54
  6. Step 6: Final answer
    x = 171,100.86

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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.