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Finding the Fourth Proportional to 294,076.80, 441,296.64 and 136,275.84

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Solution

The fourth proportional to 294,076.80, 441,296.64 and 136,275.84 is: 204,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,076.80 : 441,296.64 = 136,275.84 : x
  2. Step 2: Convert to fraction form
    294,076.80/441,296.64 = 136,275.84/x
  3. Step 3: Cross multiply
    294,076.80x = 441,296.64 × 136,275.84
  4. Step 4: Simplify right side
    294,076.80x = 60,138,070,305.18
  5. Step 5: Solve for x
    x = 60,138,070,305.18/294,076.80
  6. Step 6: Final answer
    x = 204,497.84

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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.