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Finding the Fourth Proportional to 180,833.76, 270,868.86 and 145,101.42

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Solution

The fourth proportional to 180,833.76, 270,868.86 and 145,101.42 is: 217,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,833.76 : 270,868.86 = 145,101.42 : x
  2. Step 2: Convert to fraction form
    180,833.76/270,868.86 = 145,101.42/x
  3. Step 3: Cross multiply
    180,833.76x = 270,868.86 × 145,101.42
  4. Step 4: Simplify right side
    180,833.76x = 39,303,456,219.78
  5. Step 5: Solve for x
    x = 39,303,456,219.78/180,833.76
  6. Step 6: Final answer
    x = 217,345.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.