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Finding the Fourth Proportional to 157,161.78, 216,887.94 and 96,767.26

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Solution

The fourth proportional to 157,161.78, 216,887.94 and 96,767.26 is: 133,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,161.78 : 216,887.94 = 96,767.26 : x
  2. Step 2: Convert to fraction form
    157,161.78/216,887.94 = 96,767.26/x
  3. Step 3: Cross multiply
    157,161.78x = 216,887.94 × 96,767.26
  4. Step 4: Simplify right side
    157,161.78x = 20,987,650,112.57
  5. Step 5: Solve for x
    x = 20,987,650,112.57/157,161.78
  6. Step 6: Final answer
    x = 133,541.69

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1.5x scale

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.