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Finding the Fourth Proportional to 225,224.74, 310,810.26 and 140,342.14

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Solution

The fourth proportional to 225,224.74, 310,810.26 and 140,342.14 is: 193,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,224.74 : 310,810.26 = 140,342.14 : x
  2. Step 2: Convert to fraction form
    225,224.74/310,810.26 = 140,342.14/x
  3. Step 3: Cross multiply
    225,224.74x = 310,810.26 × 140,342.14
  4. Step 4: Simplify right side
    225,224.74x = 43,619,777,022.36
  5. Step 5: Solve for x
    x = 43,619,777,022.36/225,224.74
  6. Step 6: Final answer
    x = 193,672.23

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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.