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Finding the Fourth Proportional to 255,224.67, 382,834.39 and 65,684.29

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Solution

The fourth proportional to 255,224.67, 382,834.39 and 65,684.29 is: 98,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.67 : 382,834.39 = 65,684.29 : x
  2. Step 2: Convert to fraction form
    255,224.67/382,834.39 = 65,684.29/x
  3. Step 3: Cross multiply
    255,224.67x = 382,834.39 × 65,684.29
  4. Step 4: Simplify right side
    255,224.67x = 25,146,206,075.87
  5. Step 5: Solve for x
    x = 25,146,206,075.87/255,224.67
  6. Step 6: Final answer
    x = 98,525.77

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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.