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Finding the Fourth Proportional to 200,693.82, 301,057.16 and 100,802.64

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Solution

The fourth proportional to 200,693.82, 301,057.16 and 100,802.64 is: 151,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,693.82 : 301,057.16 = 100,802.64 : x
  2. Step 2: Convert to fraction form
    200,693.82/301,057.16 = 100,802.64/x
  3. Step 3: Cross multiply
    200,693.82x = 301,057.16 × 100,802.64
  4. Step 4: Simplify right side
    200,693.82x = 30,347,356,518.90
  5. Step 5: Solve for x
    x = 30,347,356,518.90/200,693.82
  6. Step 6: Final answer
    x = 151,212.21

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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.