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Finding the Fourth Proportional to 279,494.64, 385,702.02 and 152,169.12

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Solution

The fourth proportional to 279,494.64, 385,702.02 and 152,169.12 is: 209,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,494.64 : 385,702.02 = 152,169.12 : x
  2. Step 2: Convert to fraction form
    279,494.64/385,702.02 = 152,169.12/x
  3. Step 3: Cross multiply
    279,494.64x = 385,702.02 × 152,169.12
  4. Step 4: Simplify right side
    279,494.64x = 58,691,936,965.62
  5. Step 5: Solve for x
    x = 58,691,936,965.62/279,494.64
  6. Step 6: Final answer
    x = 209,993.07

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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.