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Finding the Fourth Proportional to 216,127.44, 323,841.24 and 163,639.44

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Solution

The fourth proportional to 216,127.44, 323,841.24 and 163,639.44 is: 245,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,127.44 : 323,841.24 = 163,639.44 : x
  2. Step 2: Convert to fraction form
    216,127.44/323,841.24 = 163,639.44/x
  3. Step 3: Cross multiply
    216,127.44x = 323,841.24 × 163,639.44
  4. Step 4: Simplify right side
    216,127.44x = 52,993,199,162.51
  5. Step 5: Solve for x
    x = 52,993,199,162.51/216,127.44
  6. Step 6: Final answer
    x = 245,194.22

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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.