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Finding the Fourth Proportional to 283,855.32, 391,729.40 and 163,021.16

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Solution

The fourth proportional to 283,855.32, 391,729.40 and 163,021.16 is: 224,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,855.32 : 391,729.40 = 163,021.16 : x
  2. Step 2: Convert to fraction form
    283,855.32/391,729.40 = 163,021.16/x
  3. Step 3: Cross multiply
    283,855.32x = 391,729.40 × 163,021.16
  4. Step 4: Simplify right side
    283,855.32x = 63,860,181,194.10
  5. Step 5: Solve for x
    x = 63,860,181,194.10/283,855.32
  6. Step 6: Final answer
    x = 224,974.40

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