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Finding the Fourth Proportional to 262,523.30, 393,847.68 and 85,030.52

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Solution

The fourth proportional to 262,523.30, 393,847.68 and 85,030.52 is: 127,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,523.30 : 393,847.68 = 85,030.52 : x
  2. Step 2: Convert to fraction form
    262,523.30/393,847.68 = 85,030.52/x
  3. Step 3: Cross multiply
    262,523.30x = 393,847.68 × 85,030.52
  4. Step 4: Simplify right side
    262,523.30x = 33,489,073,031.19
  5. Step 5: Solve for x
    x = 33,489,073,031.19/262,523.30
  6. Step 6: Final answer
    x = 127,566.10

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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.