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Finding the Fourth Proportional to 200,444.56, 300,722.19 and 178,411.89

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Solution

The fourth proportional to 200,444.56, 300,722.19 and 178,411.89 is: 267,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,444.56 : 300,722.19 = 178,411.89 : x
  2. Step 2: Convert to fraction form
    200,444.56/300,722.19 = 178,411.89/x
  3. Step 3: Cross multiply
    200,444.56x = 300,722.19 × 178,411.89
  4. Step 4: Simplify right side
    200,444.56x = 53,652,414,741.50
  5. Step 5: Solve for x
    x = 53,652,414,741.50/200,444.56
  6. Step 6: Final answer
    x = 267,667.11

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Why These Related Problems?

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