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Finding the Fourth Proportional to 294,077.80, 441,298.14 and 136,276.84

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Solution

The fourth proportional to 294,077.80, 441,298.14 and 136,276.84 is: 204,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,077.80 : 441,298.14 = 136,276.84 : x
  2. Step 2: Convert to fraction form
    294,077.80/441,298.14 = 136,276.84/x
  3. Step 3: Cross multiply
    294,077.80x = 441,298.14 × 136,276.84
  4. Step 4: Simplify right side
    294,077.80x = 60,138,716,017.08
  5. Step 5: Solve for x
    x = 60,138,716,017.08/294,077.80
  6. Step 6: Final answer
    x = 204,499.34

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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.