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Finding the Fourth Proportional to 294,808.60, 442,212.90 and 81,576.10

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Solution

The fourth proportional to 294,808.60, 442,212.90 and 81,576.10 is: 122,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,808.60 : 442,212.90 = 81,576.10 : x
  2. Step 2: Convert to fraction form
    294,808.60/442,212.90 = 81,576.10/x
  3. Step 3: Cross multiply
    294,808.60x = 442,212.90 × 81,576.10
  4. Step 4: Simplify right side
    294,808.60x = 36,074,003,751.69
  5. Step 5: Solve for x
    x = 36,074,003,751.69/294,808.60
  6. Step 6: Final answer
    x = 122,364.15

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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.