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Finding the Fourth Proportional to 100,655.26, 150,956.46 and 53,206.47

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Solution

The fourth proportional to 100,655.26, 150,956.46 and 53,206.47 is: 79,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,655.26 : 150,956.46 = 53,206.47 : x
  2. Step 2: Convert to fraction form
    100,655.26/150,956.46 = 53,206.47/x
  3. Step 3: Cross multiply
    100,655.26x = 150,956.46 × 53,206.47
  4. Step 4: Simplify right side
    100,655.26x = 8,031,860,360.30
  5. Step 5: Solve for x
    x = 8,031,860,360.30/100,655.26
  6. Step 6: Final answer
    x = 79,795.74

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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.