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Finding the Fourth Proportional to 294,221.49, 441,332.23 and 83,853.96

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Solution

The fourth proportional to 294,221.49, 441,332.23 and 83,853.96 is: 125,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,221.49 : 441,332.23 = 83,853.96 : x
  2. Step 2: Convert to fraction form
    294,221.49/441,332.23 = 83,853.96/x
  3. Step 3: Cross multiply
    294,221.49x = 441,332.23 × 83,853.96
  4. Step 4: Simplify right side
    294,221.49x = 37,007,455,161.13
  5. Step 5: Solve for x
    x = 37,007,455,161.13/294,221.49
  6. Step 6: Final answer
    x = 125,780.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.