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Finding the Fourth Proportional to 277,419.12, 416,128.74 and 67,057.03

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Solution

The fourth proportional to 277,419.12, 416,128.74 and 67,057.03 is: 100,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,419.12 : 416,128.74 = 67,057.03 : x
  2. Step 2: Convert to fraction form
    277,419.12/416,128.74 = 67,057.03/x
  3. Step 3: Cross multiply
    277,419.12x = 416,128.74 × 67,057.03
  4. Step 4: Simplify right side
    277,419.12x = 27,904,357,402.04
  5. Step 5: Solve for x
    x = 27,904,357,402.04/277,419.12
  6. Step 6: Final answer
    x = 100,585.56

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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.