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Finding the Fourth Proportional to 270,419.65, 373,164 and 147,887.83

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Solution

The fourth proportional to 270,419.65, 373,164 and 147,887.83 is: 204,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,419.65 : 373,164 = 147,887.83 : x
  2. Step 2: Convert to fraction form
    270,419.65/373,164 = 147,887.83/x
  3. Step 3: Cross multiply
    270,419.65x = 373,164 × 147,887.83
  4. Step 4: Simplify right side
    270,419.65x = 55,186,414,194.12
  5. Step 5: Solve for x
    x = 55,186,414,194.12/270,419.65
  6. Step 6: Final answer
    x = 204,076.94

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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.