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Finding the Fourth Proportional to 283,903.68, 391,784.10 and 156,576.54

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Solution

The fourth proportional to 283,903.68, 391,784.10 and 156,576.54 is: 216,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,903.68 : 391,784.10 = 156,576.54 : x
  2. Step 2: Convert to fraction form
    283,903.68/391,784.10 = 156,576.54/x
  3. Step 3: Cross multiply
    283,903.68x = 391,784.10 × 156,576.54
  4. Step 4: Simplify right side
    283,903.68x = 61,344,198,805.01
  5. Step 5: Solve for x
    x = 61,344,198,805.01/283,903.68
  6. Step 6: Final answer
    x = 216,073.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.