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Finding the Fourth Proportional to 263,152.50, 363,159.09 and 143,920.50

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Solution

The fourth proportional to 263,152.50, 363,159.09 and 143,920.50 is: 198,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,152.50 : 363,159.09 = 143,920.50 : x
  2. Step 2: Convert to fraction form
    263,152.50/363,159.09 = 143,920.50/x
  3. Step 3: Cross multiply
    263,152.50x = 363,159.09 × 143,920.50
  4. Step 4: Simplify right side
    263,152.50x = 52,266,037,812.35
  5. Step 5: Solve for x
    x = 52,266,037,812.35/263,152.50
  6. Step 6: Final answer
    x = 198,615.02

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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.