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Finding the Fourth Proportional to 354,196.95, 531,164.16 and 143,763.81

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Solution

The fourth proportional to 354,196.95, 531,164.16 and 143,763.81 is: 215,592.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,196.95 : 531,164.16 = 143,763.81 : x
  2. Step 2: Convert to fraction form
    354,196.95/531,164.16 = 143,763.81/x
  3. Step 3: Cross multiply
    354,196.95x = 531,164.16 × 143,763.81
  4. Step 4: Simplify right side
    354,196.95x = 76,362,183,377.05
  5. Step 5: Solve for x
    x = 76,362,183,377.05/354,196.95
  6. Step 6: Final answer
    x = 215,592.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.