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Finding the Fourth Proportional to 225,241.42, 310,698.02 and 148,760.67

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Solution

The fourth proportional to 225,241.42, 310,698.02 and 148,760.67 is: 205,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,241.42 : 310,698.02 = 148,760.67 : x
  2. Step 2: Convert to fraction form
    225,241.42/310,698.02 = 148,760.67/x
  3. Step 3: Cross multiply
    225,241.42x = 310,698.02 × 148,760.67
  4. Step 4: Simplify right side
    225,241.42x = 46,219,645,622.87
  5. Step 5: Solve for x
    x = 46,219,645,622.87/225,241.42
  6. Step 6: Final answer
    x = 205,200.47

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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.