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Finding the Fourth Proportional to 225,149.44, 310,570.84 and 148,669.24

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Solution

The fourth proportional to 225,149.44, 310,570.84 and 148,669.24 is: 205,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,149.44 : 310,570.84 = 148,669.24 : x
  2. Step 2: Convert to fraction form
    225,149.44/310,570.84 = 148,669.24/x
  3. Step 3: Cross multiply
    225,149.44x = 310,570.84 × 148,669.24
  4. Step 4: Simplify right side
    225,149.44x = 46,172,330,748.96
  5. Step 5: Solve for x
    x = 46,172,330,748.96/225,149.44
  6. Step 6: Final answer
    x = 205,074.15

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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.