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Finding the Fourth Proportional to 287,994.72, 432,184.92 and 119,515.20

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Solution

The fourth proportional to 287,994.72, 432,184.92 and 119,515.20 is: 179,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,994.72 : 432,184.92 = 119,515.20 : x
  2. Step 2: Convert to fraction form
    287,994.72/432,184.92 = 119,515.20/x
  3. Step 3: Cross multiply
    287,994.72x = 432,184.92 × 119,515.20
  4. Step 4: Simplify right side
    287,994.72x = 51,652,667,150.78
  5. Step 5: Solve for x
    x = 51,652,667,150.78/287,994.72
  6. Step 6: Final answer
    x = 179,352.83

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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.