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Finding the Fourth Proportional to 144,016, 216,014.88 and 44,168.32

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Solution

The fourth proportional to 144,016, 216,014.88 and 44,168.32 is: 66,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,016 : 216,014.88 = 44,168.32 : x
  2. Step 2: Convert to fraction form
    144,016/216,014.88 = 44,168.32/x
  3. Step 3: Cross multiply
    144,016x = 216,014.88 × 44,168.32
  4. Step 4: Simplify right side
    144,016x = 9,541,014,344.60
  5. Step 5: Solve for x
    x = 9,541,014,344.60/144,016
  6. Step 6: Final answer
    x = 66,249.68

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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.