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Finding the Fourth Proportional to 103,464.64, 155,220 and 56,693.44

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Solution

The fourth proportional to 103,464.64, 155,220 and 56,693.44 is: 85,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,464.64 : 155,220 = 56,693.44 : x
  2. Step 2: Convert to fraction form
    103,464.64/155,220 = 56,693.44/x
  3. Step 3: Cross multiply
    103,464.64x = 155,220 × 56,693.44
  4. Step 4: Simplify right side
    103,464.64x = 8,799,955,756.80
  5. Step 5: Solve for x
    x = 8,799,955,756.80/103,464.64
  6. Step 6: Final answer
    x = 85,052.78

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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.