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Finding the Fourth Proportional to 233,892.26, 322,918.92 and 162,247.22

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Solution

The fourth proportional to 233,892.26, 322,918.92 and 162,247.22 is: 224,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892.26 : 322,918.92 = 162,247.22 : x
  2. Step 2: Convert to fraction form
    233,892.26/322,918.92 = 162,247.22/x
  3. Step 3: Cross multiply
    233,892.26x = 322,918.92 × 162,247.22
  4. Step 4: Simplify right side
    233,892.26x = 52,392,697,055.40
  5. Step 5: Solve for x
    x = 52,392,697,055.40/233,892.26
  6. Step 6: Final answer
    x = 224,003.55

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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.