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Finding the Fourth Proportional to 264,878.97, 365,530.41 and 144,020.27

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Solution

The fourth proportional to 264,878.97, 365,530.41 and 144,020.27 is: 198,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,878.97 : 365,530.41 = 144,020.27 : x
  2. Step 2: Convert to fraction form
    264,878.97/365,530.41 = 144,020.27/x
  3. Step 3: Cross multiply
    264,878.97x = 365,530.41 × 144,020.27
  4. Step 4: Simplify right side
    264,878.97x = 52,643,786,513.76
  5. Step 5: Solve for x
    x = 52,643,786,513.76/264,878.97
  6. Step 6: Final answer
    x = 198,746.57

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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.