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Finding the Fourth Proportional to 294,760.60, 442,213.80 and 95,102.08

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Solution

The fourth proportional to 294,760.60, 442,213.80 and 95,102.08 is: 142,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,760.60 : 442,213.80 = 95,102.08 : x
  2. Step 2: Convert to fraction form
    294,760.60/442,213.80 = 95,102.08/x
  3. Step 3: Cross multiply
    294,760.60x = 442,213.80 × 95,102.08
  4. Step 4: Simplify right side
    294,760.60x = 42,055,452,184.70
  5. Step 5: Solve for x
    x = 42,055,452,184.70/294,760.60
  6. Step 6: Final answer
    x = 142,676.64

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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.