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Finding the Fourth Proportional to 209,536.42, 289,166.40 and 114,049.30

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Solution

The fourth proportional to 209,536.42, 289,166.40 and 114,049.30 is: 157,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.42 : 289,166.40 = 114,049.30 : x
  2. Step 2: Convert to fraction form
    209,536.42/289,166.40 = 114,049.30/x
  3. Step 3: Cross multiply
    209,536.42x = 289,166.40 × 114,049.30
  4. Step 4: Simplify right side
    209,536.42x = 32,979,225,503.52
  5. Step 5: Solve for x
    x = 32,979,225,503.52/209,536.42
  6. Step 6: Final answer
    x = 157,391.38

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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.