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Finding the Fourth Proportional to 216,053.75, 323,646.57 and 107,656.16

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Solution

The fourth proportional to 216,053.75, 323,646.57 and 107,656.16 is: 161,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,053.75 : 323,646.57 = 107,656.16 : x
  2. Step 2: Convert to fraction form
    216,053.75/323,646.57 = 107,656.16/x
  3. Step 3: Cross multiply
    216,053.75x = 323,646.57 × 107,656.16
  4. Step 4: Simplify right side
    216,053.75x = 34,842,545,305.14
  5. Step 5: Solve for x
    x = 34,842,545,305.14/216,053.75
  6. Step 6: Final answer
    x = 161,267.95

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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.