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Finding the Fourth Proportional to 294,178.64, 441,258.80 and 83,816.55

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Solution

The fourth proportional to 294,178.64, 441,258.80 and 83,816.55 is: 125,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,178.64 : 441,258.80 = 83,816.55 : x
  2. Step 2: Convert to fraction form
    294,178.64/441,258.80 = 83,816.55/x
  3. Step 3: Cross multiply
    294,178.64x = 441,258.80 × 83,816.55
  4. Step 4: Simplify right side
    294,178.64x = 36,984,789,854.06
  5. Step 5: Solve for x
    x = 36,984,789,854.06/294,178.64
  6. Step 6: Final answer
    x = 125,722.22

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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.