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Finding the Fourth Proportional to 103,352.16, 155,043.92 and 44,188

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Solution

The fourth proportional to 103,352.16, 155,043.92 and 44,188 is: 66,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,352.16 : 155,043.92 = 44,188 : x
  2. Step 2: Convert to fraction form
    103,352.16/155,043.92 = 44,188/x
  3. Step 3: Cross multiply
    103,352.16x = 155,043.92 × 44,188
  4. Step 4: Simplify right side
    103,352.16x = 6,851,080,736.96
  5. Step 5: Solve for x
    x = 6,851,080,736.96/103,352.16
  6. Step 6: Final answer
    x = 66,288.70

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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.