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Finding the Fourth Proportional to 255,862.59, 383,629.66 and 106,206.18

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Solution

The fourth proportional to 255,862.59, 383,629.66 and 106,206.18 is: 159,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862.59 : 383,629.66 = 106,206.18 : x
  2. Step 2: Convert to fraction form
    255,862.59/383,629.66 = 106,206.18/x
  3. Step 3: Cross multiply
    255,862.59x = 383,629.66 × 106,206.18
  4. Step 4: Simplify right side
    255,862.59x = 40,743,841,202.84
  5. Step 5: Solve for x
    x = 40,743,841,202.84/255,862.59
  6. Step 6: Final answer
    x = 159,241.10

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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.