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Finding the Fourth Proportional to 209,620.95, 289,267.38 and 114,127.44

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Solution

The fourth proportional to 209,620.95, 289,267.38 and 114,127.44 is: 157,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620.95 : 289,267.38 = 114,127.44 : x
  2. Step 2: Convert to fraction form
    209,620.95/289,267.38 = 114,127.44/x
  3. Step 3: Cross multiply
    209,620.95x = 289,267.38 × 114,127.44
  4. Step 4: Simplify right side
    209,620.95x = 33,013,345,554.91
  5. Step 5: Solve for x
    x = 33,013,345,554.91/209,620.95
  6. Step 6: Final answer
    x = 157,490.68

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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.