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Finding the Fourth Proportional to 238,363.36, 357,000.72 and 113,791.84

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Solution

The fourth proportional to 238,363.36, 357,000.72 and 113,791.84 is: 170,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,363.36 : 357,000.72 = 113,791.84 : x
  2. Step 2: Convert to fraction form
    238,363.36/357,000.72 = 113,791.84/x
  3. Step 3: Cross multiply
    238,363.36x = 357,000.72 × 113,791.84
  4. Step 4: Simplify right side
    238,363.36x = 40,623,768,810.12
  5. Step 5: Solve for x
    x = 40,623,768,810.12/238,363.36
  6. Step 6: Final answer
    x = 170,427.91

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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.