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Finding the Fourth Proportional to 209,516.59, 289,133.91 and 114,023.28

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Solution

The fourth proportional to 209,516.59, 289,133.91 and 114,023.28 is: 157,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,516.59 : 289,133.91 = 114,023.28 : x
  2. Step 2: Convert to fraction form
    209,516.59/289,133.91 = 114,023.28/x
  3. Step 3: Cross multiply
    209,516.59x = 289,133.91 × 114,023.28
  4. Step 4: Simplify right side
    209,516.59x = 32,967,996,777.42
  5. Step 5: Solve for x
    x = 32,967,996,777.42/209,516.59
  6. Step 6: Final answer
    x = 157,352.68

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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.