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Finding the Fourth Proportional to 493,191.76, 739,787.76 and 119,214.72

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Solution

The fourth proportional to 493,191.76, 739,787.76 and 119,214.72 is: 178,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,191.76 : 739,787.76 = 119,214.72 : x
  2. Step 2: Convert to fraction form
    493,191.76/739,787.76 = 119,214.72/x
  3. Step 3: Cross multiply
    493,191.76x = 739,787.76 × 119,214.72
  4. Step 4: Simplify right side
    493,191.76x = 88,193,590,667.83
  5. Step 5: Solve for x
    x = 88,193,590,667.83/493,191.76
  6. Step 6: Final answer
    x = 178,822.11

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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.