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Finding the Fourth Proportional to 118,305.44, 163,222.32 and 78,039.20

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Solution

The fourth proportional to 118,305.44, 163,222.32 and 78,039.20 is: 107,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,305.44 : 163,222.32 = 78,039.20 : x
  2. Step 2: Convert to fraction form
    118,305.44/163,222.32 = 78,039.20/x
  3. Step 3: Cross multiply
    118,305.44x = 163,222.32 × 78,039.20
  4. Step 4: Simplify right side
    118,305.44x = 12,737,739,274.94
  5. Step 5: Solve for x
    x = 12,737,739,274.94/118,305.44
  6. Step 6: Final answer
    x = 107,668.25

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