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Finding the Fourth Proportional to 209,525.68, 289,175.91 and 117,655.27

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Solution

The fourth proportional to 209,525.68, 289,175.91 and 117,655.27 is: 162,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,525.68 : 289,175.91 = 117,655.27 : x
  2. Step 2: Convert to fraction form
    209,525.68/289,175.91 = 117,655.27/x
  3. Step 3: Cross multiply
    209,525.68x = 289,175.91 × 117,655.27
  4. Step 4: Simplify right side
    209,525.68x = 34,023,069,768.55
  5. Step 5: Solve for x
    x = 34,023,069,768.55/209,525.68
  6. Step 6: Final answer
    x = 162,381.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.