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Finding the Fourth Proportional to 289,030.97, 398,863.08 and 161,706.66

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Solution

The fourth proportional to 289,030.97, 398,863.08 and 161,706.66 is: 223,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,030.97 : 398,863.08 = 161,706.66 : x
  2. Step 2: Convert to fraction form
    289,030.97/398,863.08 = 161,706.66/x
  3. Step 3: Cross multiply
    289,030.97x = 398,863.08 × 161,706.66
  4. Step 4: Simplify right side
    289,030.97x = 64,498,816,464.11
  5. Step 5: Solve for x
    x = 64,498,816,464.11/289,030.97
  6. Step 6: Final answer
    x = 223,155.39

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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.