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Finding the Fourth Proportional to 238,013, 357,020.82 and 60,520.14

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Solution

The fourth proportional to 238,013, 357,020.82 and 60,520.14 is: 90,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,013 : 357,020.82 = 60,520.14 : x
  2. Step 2: Convert to fraction form
    238,013/357,020.82 = 60,520.14/x
  3. Step 3: Cross multiply
    238,013x = 357,020.82 × 60,520.14
  4. Step 4: Simplify right side
    238,013x = 21,606,950,009.31
  5. Step 5: Solve for x
    x = 21,606,950,009.31/238,013
  6. Step 6: Final answer
    x = 90,780.55

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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.