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Finding the Fourth Proportional to 283,209.55, 424,813.78 and 83,670.10

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Solution

The fourth proportional to 283,209.55, 424,813.78 and 83,670.10 is: 125,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,209.55 : 424,813.78 = 83,670.10 : x
  2. Step 2: Convert to fraction form
    283,209.55/424,813.78 = 83,670.10/x
  3. Step 3: Cross multiply
    283,209.55x = 424,813.78 × 83,670.10
  4. Step 4: Simplify right side
    283,209.55x = 35,544,211,453.98
  5. Step 5: Solve for x
    x = 35,544,211,453.98/283,209.55
  6. Step 6: Final answer
    x = 125,504.99

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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.