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Finding the Fourth Proportional to 252,095.80, 377,682.90 and 205,094.20

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Solution

The fourth proportional to 252,095.80, 377,682.90 and 205,094.20 is: 307,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,095.80 : 377,682.90 = 205,094.20 : x
  2. Step 2: Convert to fraction form
    252,095.80/377,682.90 = 205,094.20/x
  3. Step 3: Cross multiply
    252,095.80x = 377,682.90 × 205,094.20
  4. Step 4: Simplify right side
    252,095.80x = 77,460,572,229.18
  5. Step 5: Solve for x
    x = 77,460,572,229.18/252,095.80
  6. Step 6: Final answer
    x = 307,266.41

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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.