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Finding the Fourth Proportional to 237,588, 327,857.65 and 130,139.31

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Solution

The fourth proportional to 237,588, 327,857.65 and 130,139.31 is: 179,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,588 : 327,857.65 = 130,139.31 : x
  2. Step 2: Convert to fraction form
    237,588/327,857.65 = 130,139.31/x
  3. Step 3: Cross multiply
    237,588x = 327,857.65 × 130,139.31
  4. Step 4: Simplify right side
    237,588x = 42,667,168,349.22
  5. Step 5: Solve for x
    x = 42,667,168,349.22/237,588
  6. Step 6: Final answer
    x = 179,584.69

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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.