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Finding the Fourth Proportional to 202,714.94, 304,025.26 and 76,367.85

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Solution

The fourth proportional to 202,714.94, 304,025.26 and 76,367.85 is: 114,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,714.94 : 304,025.26 = 76,367.85 : x
  2. Step 2: Convert to fraction form
    202,714.94/304,025.26 = 76,367.85/x
  3. Step 3: Cross multiply
    202,714.94x = 304,025.26 × 76,367.85
  4. Step 4: Simplify right side
    202,714.94x = 23,217,755,070.05
  5. Step 5: Solve for x
    x = 23,217,755,070.05/202,714.94
  6. Step 6: Final answer
    x = 114,534.01

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1.5x scale

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.