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Finding the Fourth Proportional to 162,583.20, 243,874.80 and 69,076.80

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Solution

The fourth proportional to 162,583.20, 243,874.80 and 69,076.80 is: 103,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,583.20 : 243,874.80 = 69,076.80 : x
  2. Step 2: Convert to fraction form
    162,583.20/243,874.80 = 69,076.80/x
  3. Step 3: Cross multiply
    162,583.20x = 243,874.80 × 69,076.80
  4. Step 4: Simplify right side
    162,583.20x = 16,846,090,784.64
  5. Step 5: Solve for x
    x = 16,846,090,784.64/162,583.20
  6. Step 6: Final answer
    x = 103,615.20

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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.