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Finding the Fourth Proportional to 225,506.63, 311,195.22 and 123,534.11

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Solution

The fourth proportional to 225,506.63, 311,195.22 and 123,534.11 is: 170,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,506.63 : 311,195.22 = 123,534.11 : x
  2. Step 2: Convert to fraction form
    225,506.63/311,195.22 = 123,534.11/x
  3. Step 3: Cross multiply
    225,506.63x = 311,195.22 × 123,534.11
  4. Step 4: Simplify right side
    225,506.63x = 38,443,224,853.69
  5. Step 5: Solve for x
    x = 38,443,224,853.69/225,506.63
  6. Step 6: Final answer
    x = 170,474.92

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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.