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Finding the Fourth Proportional to 255,908.97, 383,734.67 and 149,329.17

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Solution

The fourth proportional to 255,908.97, 383,734.67 and 149,329.17 is: 223,918.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908.97 : 383,734.67 = 149,329.17 : x
  2. Step 2: Convert to fraction form
    255,908.97/383,734.67 = 149,329.17/x
  3. Step 3: Cross multiply
    255,908.97x = 383,734.67 × 149,329.17
  4. Step 4: Simplify right side
    255,908.97x = 57,302,779,024.68
  5. Step 5: Solve for x
    x = 57,302,779,024.68/255,908.97
  6. Step 6: Final answer
    x = 223,918.60

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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.