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Finding the Fourth Proportional to 219,919.86, 303,774.12 and 162,675.54

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Solution

The fourth proportional to 219,919.86, 303,774.12 and 162,675.54 is: 224,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,919.86 : 303,774.12 = 162,675.54 : x
  2. Step 2: Convert to fraction form
    219,919.86/303,774.12 = 162,675.54/x
  3. Step 3: Cross multiply
    219,919.86x = 303,774.12 × 162,675.54
  4. Step 4: Simplify right side
    219,919.86x = 49,416,619,009.02
  5. Step 5: Solve for x
    x = 49,416,619,009.02/219,919.86
  6. Step 6: Final answer
    x = 224,702.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.