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Finding the Fourth Proportional to 262,080.42, 393,118.47 and 75,092.10

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Solution

The fourth proportional to 262,080.42, 393,118.47 and 75,092.10 is: 112,637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,080.42 : 393,118.47 = 75,092.10 : x
  2. Step 2: Convert to fraction form
    262,080.42/393,118.47 = 75,092.10/x
  3. Step 3: Cross multiply
    262,080.42x = 393,118.47 × 75,092.10
  4. Step 4: Simplify right side
    262,080.42x = 29,520,091,461.09
  5. Step 5: Solve for x
    x = 29,520,091,461.09/262,080.42
  6. Step 6: Final answer
    x = 112,637.53

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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.