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Finding the Fourth Proportional to 202,200.71, 303,308.81 and 52,437.08

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Solution

The fourth proportional to 202,200.71, 303,308.81 and 52,437.08 is: 78,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200.71 : 303,308.81 = 52,437.08 : x
  2. Step 2: Convert to fraction form
    202,200.71/303,308.81 = 52,437.08/x
  3. Step 3: Cross multiply
    202,200.71x = 303,308.81 × 52,437.08
  4. Step 4: Simplify right side
    202,200.71x = 15,904,626,555.95
  5. Step 5: Solve for x
    x = 15,904,626,555.95/202,200.71
  6. Step 6: Final answer
    x = 78,657.62

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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.