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Finding the Fourth Proportional to 283,903.67, 391,784.10 and 156,576.53

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Solution

The fourth proportional to 283,903.67, 391,784.10 and 156,576.53 is: 216,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,903.67 : 391,784.10 = 156,576.53 : x
  2. Step 2: Convert to fraction form
    283,903.67/391,784.10 = 156,576.53/x
  3. Step 3: Cross multiply
    283,903.67x = 391,784.10 × 156,576.53
  4. Step 4: Simplify right side
    283,903.67x = 61,344,194,887.17
  5. Step 5: Solve for x
    x = 61,344,194,887.17/283,903.67
  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.