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Finding the Fourth Proportional to 78,815.20, 118,222.80 and 37,343.20

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Solution

The fourth proportional to 78,815.20, 118,222.80 and 37,343.20 is: 56,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,815.20 : 118,222.80 = 37,343.20 : x
  2. Step 2: Convert to fraction form
    78,815.20/118,222.80 = 37,343.20/x
  3. Step 3: Cross multiply
    78,815.20x = 118,222.80 × 37,343.20
  4. Step 4: Simplify right side
    78,815.20x = 4,414,817,664.96
  5. Step 5: Solve for x
    x = 4,414,817,664.96/78,815.20
  6. Step 6: Final answer
    x = 56,014.80

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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.