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Finding the Fourth Proportional to 283,074.54, 424,639.14 and 103,208.37

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Solution

The fourth proportional to 283,074.54, 424,639.14 and 103,208.37 is: 154,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,074.54 : 424,639.14 = 103,208.37 : x
  2. Step 2: Convert to fraction form
    283,074.54/424,639.14 = 103,208.37/x
  3. Step 3: Cross multiply
    283,074.54x = 424,639.14 × 103,208.37
  4. Step 4: Simplify right side
    283,074.54x = 43,826,313,477.60
  5. Step 5: Solve for x
    x = 43,826,313,477.60/283,074.54
  6. Step 6: Final answer
    x = 154,822.52

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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.