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Finding the Fourth Proportional to 209,803.74, 289,636.38 and 142,178.04

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Solution

The fourth proportional to 209,803.74, 289,636.38 and 142,178.04 is: 196,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.74 : 289,636.38 = 142,178.04 : x
  2. Step 2: Convert to fraction form
    209,803.74/289,636.38 = 142,178.04/x
  3. Step 3: Cross multiply
    209,803.74x = 289,636.38 × 142,178.04
  4. Step 4: Simplify right side
    209,803.74x = 41,179,932,821.10
  5. Step 5: Solve for x
    x = 41,179,932,821.10/209,803.74
  6. Step 6: Final answer
    x = 196,278.35

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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.