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Finding the Fourth Proportional to 262,137.04, 393,205.56 and 65,145.04

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Solution

The fourth proportional to 262,137.04, 393,205.56 and 65,145.04 is: 97,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,137.04 : 393,205.56 = 65,145.04 : x
  2. Step 2: Convert to fraction form
    262,137.04/393,205.56 = 65,145.04/x
  3. Step 3: Cross multiply
    262,137.04x = 393,205.56 × 65,145.04
  4. Step 4: Simplify right side
    262,137.04x = 25,615,391,934.42
  5. Step 5: Solve for x
    x = 25,615,391,934.42/262,137.04
  6. Step 6: Final answer
    x = 97,717.56

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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.