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Finding the Fourth Proportional to 279,462.25, 385,657.95 and 152,138.80

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Solution

The fourth proportional to 279,462.25, 385,657.95 and 152,138.80 is: 209,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,462.25 : 385,657.95 = 152,138.80 : x
  2. Step 2: Convert to fraction form
    279,462.25/385,657.95 = 152,138.80/x
  3. Step 3: Cross multiply
    279,462.25x = 385,657.95 × 152,138.80
  4. Step 4: Simplify right side
    279,462.25x = 58,673,537,723.46
  5. Step 5: Solve for x
    x = 58,673,537,723.46/279,462.25
  6. Step 6: Final answer
    x = 209,951.57

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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.