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Finding the Fourth Proportional to 238,267.77, 357,296.68 and 111,943.91

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Solution

The fourth proportional to 238,267.77, 357,296.68 and 111,943.91 is: 167,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,267.77 : 357,296.68 = 111,943.91 : x
  2. Step 2: Convert to fraction form
    238,267.77/357,296.68 = 111,943.91/x
  3. Step 3: Cross multiply
    238,267.77x = 357,296.68 × 111,943.91
  4. Step 4: Simplify right side
    238,267.77x = 39,997,187,389.22
  5. Step 5: Solve for x
    x = 39,997,187,389.22/238,267.77
  6. Step 6: Final answer
    x = 167,866.55

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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.