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Finding the Fourth Proportional to 209,536.99, 289,160.22 and 114,044.47

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Solution

The fourth proportional to 209,536.99, 289,160.22 and 114,044.47 is: 157,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,536.99 : 289,160.22 = 114,044.47 : x
  2. Step 2: Convert to fraction form
    209,536.99/289,160.22 = 114,044.47/x
  3. Step 3: Cross multiply
    209,536.99x = 289,160.22 × 114,044.47
  4. Step 4: Simplify right side
    209,536.99x = 32,977,124,034.98
  5. Step 5: Solve for x
    x = 32,977,124,034.98/209,536.99
  6. Step 6: Final answer
    x = 157,380.92

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1.5x scale

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.