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Finding the Fourth Proportional to 289,298.49, 434,017.02 and 120,725.04

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Solution

The fourth proportional to 289,298.49, 434,017.02 and 120,725.04 is: 181,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,298.49 : 434,017.02 = 120,725.04 : x
  2. Step 2: Convert to fraction form
    289,298.49/434,017.02 = 120,725.04/x
  3. Step 3: Cross multiply
    289,298.49x = 434,017.02 × 120,725.04
  4. Step 4: Simplify right side
    289,298.49x = 52,396,722,100.18
  5. Step 5: Solve for x
    x = 52,396,722,100.18/289,298.49
  6. Step 6: Final answer
    x = 181,116.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.