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Finding the Fourth Proportional to 225,241.55, 310,698.19 and 148,760.79

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Solution

The fourth proportional to 225,241.55, 310,698.19 and 148,760.79 is: 205,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,241.55 : 310,698.19 = 148,760.79 : x
  2. Step 2: Convert to fraction form
    225,241.55/310,698.19 = 148,760.79/x
  3. Step 3: Cross multiply
    225,241.55x = 310,698.19 × 148,760.79
  4. Step 4: Simplify right side
    225,241.55x = 46,219,707,824.07
  5. Step 5: Solve for x
    x = 46,219,707,824.07/225,241.55
  6. Step 6: Final answer
    x = 205,200.63

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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.