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Finding the Fourth Proportional to 202,812.16, 279,881.42 and 113,388.16

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Solution

The fourth proportional to 202,812.16, 279,881.42 and 113,388.16 is: 156,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,812.16 : 279,881.42 = 113,388.16 : x
  2. Step 2: Convert to fraction form
    202,812.16/279,881.42 = 113,388.16/x
  3. Step 3: Cross multiply
    202,812.16x = 279,881.42 × 113,388.16
  4. Step 4: Simplify right side
    202,812.16x = 31,735,239,231.99
  5. Step 5: Solve for x
    x = 31,735,239,231.99/202,812.16
  6. Step 6: Final answer
    x = 156,476.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.