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Finding the Fourth Proportional to 228,097.30, 342,145.95 and 134,785.30

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Solution

The fourth proportional to 228,097.30, 342,145.95 and 134,785.30 is: 202,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,097.30 : 342,145.95 = 134,785.30 : x
  2. Step 2: Convert to fraction form
    228,097.30/342,145.95 = 134,785.30/x
  3. Step 3: Cross multiply
    228,097.30x = 342,145.95 × 134,785.30
  4. Step 4: Simplify right side
    228,097.30x = 46,116,244,514.54
  5. Step 5: Solve for x
    x = 46,116,244,514.54/228,097.30
  6. Step 6: Final answer
    x = 202,177.95

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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.