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Finding the Fourth Proportional to 274,085.97, 411,133.47 and 96,595.11

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Solution

The fourth proportional to 274,085.97, 411,133.47 and 96,595.11 is: 144,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,085.97 : 411,133.47 = 96,595.11 : x
  2. Step 2: Convert to fraction form
    274,085.97/411,133.47 = 96,595.11/x
  3. Step 3: Cross multiply
    274,085.97x = 411,133.47 × 96,595.11
  4. Step 4: Simplify right side
    274,085.97x = 39,713,482,759.33
  5. Step 5: Solve for x
    x = 39,713,482,759.33/274,085.97
  6. Step 6: Final answer
    x = 144,894.26

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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.