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Finding the Fourth Proportional to 183,494.98, 275,267.48 and 106,594.10

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Solution

The fourth proportional to 183,494.98, 275,267.48 and 106,594.10 is: 159,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,494.98 : 275,267.48 = 106,594.10 : x
  2. Step 2: Convert to fraction form
    183,494.98/275,267.48 = 106,594.10/x
  3. Step 3: Cross multiply
    183,494.98x = 275,267.48 × 106,594.10
  4. Step 4: Simplify right side
    183,494.98x = 29,341,889,786.59
  5. Step 5: Solve for x
    x = 29,341,889,786.59/183,494.98
  6. Step 6: Final answer
    x = 159,905.68

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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.