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Finding the Fourth Proportional to 225,572.58, 311,627.16 and 148,231.08

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Solution

The fourth proportional to 225,572.58, 311,627.16 and 148,231.08 is: 204,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,572.58 : 311,627.16 = 148,231.08 : x
  2. Step 2: Convert to fraction form
    225,572.58/311,627.16 = 148,231.08/x
  3. Step 3: Cross multiply
    225,572.58x = 311,627.16 × 148,231.08
  4. Step 4: Simplify right side
    225,572.58x = 46,192,830,484.13
  5. Step 5: Solve for x
    x = 46,192,830,484.13/225,572.58
  6. Step 6: Final answer
    x = 204,780.34

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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.