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Finding the Fourth Proportional to 175,928.70, 263,893.05 and 42,807.90

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Solution

The fourth proportional to 175,928.70, 263,893.05 and 42,807.90 is: 64,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,928.70 : 263,893.05 = 42,807.90 : x
  2. Step 2: Convert to fraction form
    175,928.70/263,893.05 = 42,807.90/x
  3. Step 3: Cross multiply
    175,928.70x = 263,893.05 × 42,807.90
  4. Step 4: Simplify right side
    175,928.70x = 11,296,707,295.10
  5. Step 5: Solve for x
    x = 11,296,707,295.10/175,928.70
  6. Step 6: Final answer
    x = 64,211.85

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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.