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Finding the Fourth Proportional to 238,230.38, 328,758.58 and 130,807.38

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Solution

The fourth proportional to 238,230.38, 328,758.58 and 130,807.38 is: 180,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,230.38 : 328,758.58 = 130,807.38 : x
  2. Step 2: Convert to fraction form
    238,230.38/328,758.58 = 130,807.38/x
  3. Step 3: Cross multiply
    238,230.38x = 328,758.58 × 130,807.38
  4. Step 4: Simplify right side
    238,230.38x = 43,004,048,502.32
  5. Step 5: Solve for x
    x = 43,004,048,502.32/238,230.38
  6. Step 6: Final answer
    x = 180,514.54

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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.