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Finding the Fourth Proportional to 202,749.62, 279,792.78 and 116,725.46

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Solution

The fourth proportional to 202,749.62, 279,792.78 and 116,725.46 is: 161,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,749.62 : 279,792.78 = 116,725.46 : x
  2. Step 2: Convert to fraction form
    202,749.62/279,792.78 = 116,725.46/x
  3. Step 3: Cross multiply
    202,749.62x = 279,792.78 × 116,725.46
  4. Step 4: Simplify right side
    202,749.62x = 32,658,940,950.18
  5. Step 5: Solve for x
    x = 32,658,940,950.18/202,749.62
  6. Step 6: Final answer
    x = 161,080.16

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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.