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Finding the Fourth Proportional to 284,009.40, 391,951.98 and 163,189.80

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Solution

The fourth proportional to 284,009.40, 391,951.98 and 163,189.80 is: 225,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,009.40 : 391,951.98 = 163,189.80 : x
  2. Step 2: Convert to fraction form
    284,009.40/391,951.98 = 163,189.80/x
  3. Step 3: Cross multiply
    284,009.40x = 391,951.98 × 163,189.80
  4. Step 4: Simplify right side
    284,009.40x = 63,962,565,225.80
  5. Step 5: Solve for x
    x = 63,962,565,225.80/284,009.40
  6. Step 6: Final answer
    x = 225,212.85

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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.