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Finding the Fourth Proportional to 283,975.93, 391,888.13 and 156,651.52

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Solution

The fourth proportional to 283,975.93, 391,888.13 and 156,651.52 is: 216,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,975.93 : 391,888.13 = 156,651.52 : x
  2. Step 2: Convert to fraction form
    283,975.93/391,888.13 = 156,651.52/x
  3. Step 3: Cross multiply
    283,975.93x = 391,888.13 × 156,651.52
  4. Step 4: Simplify right side
    283,975.93x = 61,389,871,234.46
  5. Step 5: Solve for x
    x = 61,389,871,234.46/283,975.93
  6. Step 6: Final answer
    x = 216,179.84

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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.