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Finding the Fourth Proportional to 202,808.32, 303,997.96 and 76,393.87

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Solution

The fourth proportional to 202,808.32, 303,997.96 and 76,393.87 is: 114,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808.32 : 303,997.96 = 76,393.87 : x
  2. Step 2: Convert to fraction form
    202,808.32/303,997.96 = 76,393.87/x
  3. Step 3: Cross multiply
    202,808.32x = 303,997.96 × 76,393.87
  4. Step 4: Simplify right side
    202,808.32x = 23,223,580,636.51
  5. Step 5: Solve for x
    x = 23,223,580,636.51/202,808.32
  6. Step 6: Final answer
    x = 114,510.00

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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.