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Finding the Fourth Proportional to 202,138.64, 303,206.70 and 52,378.55

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Solution

The fourth proportional to 202,138.64, 303,206.70 and 52,378.55 is: 78,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,138.64 : 303,206.70 = 52,378.55 : x
  2. Step 2: Convert to fraction form
    202,138.64/303,206.70 = 52,378.55/x
  3. Step 3: Cross multiply
    202,138.64x = 303,206.70 × 52,378.55
  4. Step 4: Simplify right side
    202,138.64x = 15,881,527,296.29
  5. Step 5: Solve for x
    x = 15,881,527,296.29/202,138.64
  6. Step 6: Final answer
    x = 78,567.50

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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.