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Finding the Fourth Proportional to 294,761.60, 442,215.30 and 95,103.08

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Solution

The fourth proportional to 294,761.60, 442,215.30 and 95,103.08 is: 142,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,761.60 : 442,215.30 = 95,103.08 : x
  2. Step 2: Convert to fraction form
    294,761.60/442,215.30 = 95,103.08/x
  3. Step 3: Cross multiply
    294,761.60x = 442,215.30 × 95,103.08
  4. Step 4: Simplify right side
    294,761.60x = 42,056,037,053.12
  5. Step 5: Solve for x
    x = 42,056,037,053.12/294,761.60
  6. Step 6: Final answer
    x = 142,678.14

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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.