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Finding the Fourth Proportional to 283,596.96, 391,365.12 and 156,269.92

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Solution

The fourth proportional to 283,596.96, 391,365.12 and 156,269.92 is: 215,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596.96 : 391,365.12 = 156,269.92 : x
  2. Step 2: Convert to fraction form
    283,596.96/391,365.12 = 156,269.92/x
  3. Step 3: Cross multiply
    283,596.96x = 391,365.12 × 156,269.92
  4. Step 4: Simplify right side
    283,596.96x = 61,158,595,993.19
  5. Step 5: Solve for x
    x = 61,158,595,993.19/283,596.96
  6. Step 6: Final answer
    x = 215,653.21

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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.