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Finding the Fourth Proportional to 209,932.29, 289,696.10 and 119,276.28

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Solution

The fourth proportional to 209,932.29, 289,696.10 and 119,276.28 is: 164,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932.29 : 289,696.10 = 119,276.28 : x
  2. Step 2: Convert to fraction form
    209,932.29/289,696.10 = 119,276.28/x
  3. Step 3: Cross multiply
    209,932.29x = 289,696.10 × 119,276.28
  4. Step 4: Simplify right side
    209,932.29x = 34,553,872,542.13
  5. Step 5: Solve for x
    x = 34,553,872,542.13/209,932.29
  6. Step 6: Final answer
    x = 164,595.32

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