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Finding the Fourth Proportional to 202,320.68, 303,655.95 and 77,749.16

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Solution

The fourth proportional to 202,320.68, 303,655.95 and 77,749.16 is: 116,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,320.68 : 303,655.95 = 77,749.16 : x
  2. Step 2: Convert to fraction form
    202,320.68/303,655.95 = 77,749.16/x
  3. Step 3: Cross multiply
    202,320.68x = 303,655.95 × 77,749.16
  4. Step 4: Simplify right side
    202,320.68x = 23,608,993,523.22
  5. Step 5: Solve for x
    x = 23,608,993,523.22/202,320.68
  6. Step 6: Final answer
    x = 116,690.96

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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.