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Finding the Fourth Proportional to 225,548.52, 311,256.94 and 123,577.84

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Solution

The fourth proportional to 225,548.52, 311,256.94 and 123,577.84 is: 170,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,548.52 : 311,256.94 = 123,577.84 : x
  2. Step 2: Convert to fraction form
    225,548.52/311,256.94 = 123,577.84/x
  3. Step 3: Cross multiply
    225,548.52x = 311,256.94 × 123,577.84
  4. Step 4: Simplify right side
    225,548.52x = 38,464,461,806.37
  5. Step 5: Solve for x
    x = 38,464,461,806.37/225,548.52
  6. Step 6: Final answer
    x = 170,537.42

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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.