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Finding the Fourth Proportional to 144,904.26, 217,357.14 and 65,963.28

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Solution

The fourth proportional to 144,904.26, 217,357.14 and 65,963.28 is: 98,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.26 : 217,357.14 = 65,963.28 : x
  2. Step 2: Convert to fraction form
    144,904.26/217,357.14 = 65,963.28/x
  3. Step 3: Cross multiply
    144,904.26x = 217,357.14 × 65,963.28
  4. Step 4: Simplify right side
    144,904.26x = 14,337,589,885.82
  5. Step 5: Solve for x
    x = 14,337,589,885.82/144,904.26
  6. Step 6: Final answer
    x = 98,945.26

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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.