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Finding the Fourth Proportional to 225,573.58, 311,628.54 and 148,232.08

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Solution

The fourth proportional to 225,573.58, 311,628.54 and 148,232.08 is: 204,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,573.58 : 311,628.54 = 148,232.08 : x
  2. Step 2: Convert to fraction form
    225,573.58/311,628.54 = 148,232.08/x
  3. Step 3: Cross multiply
    225,573.58x = 311,628.54 × 148,232.08
  4. Step 4: Simplify right side
    225,573.58x = 46,193,346,671.56
  5. Step 5: Solve for x
    x = 46,193,346,671.56/225,573.58
  6. Step 6: Final answer
    x = 204,781.72

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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.