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Finding the Fourth Proportional to 238,507.86, 357,758.13 and 61,013.37

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Solution

The fourth proportional to 238,507.86, 357,758.13 and 61,013.37 is: 91,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,507.86 : 357,758.13 = 61,013.37 : x
  2. Step 2: Convert to fraction form
    238,507.86/357,758.13 = 61,013.37/x
  3. Step 3: Cross multiply
    238,507.86x = 357,758.13 × 61,013.37
  4. Step 4: Simplify right side
    238,507.86x = 21,828,029,156.20
  5. Step 5: Solve for x
    x = 21,828,029,156.20/238,507.86
  6. Step 6: Final answer
    x = 91,519.12

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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.