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Finding the Fourth Proportional to 133,026.60, 199,539.90 and 106,782.60

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Solution

The fourth proportional to 133,026.60, 199,539.90 and 106,782.60 is: 160,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026.60 : 199,539.90 = 106,782.60 : x
  2. Step 2: Convert to fraction form
    133,026.60/199,539.90 = 106,782.60/x
  3. Step 3: Cross multiply
    133,026.60x = 199,539.90 × 106,782.60
  4. Step 4: Simplify right side
    133,026.60x = 21,307,389,325.74
  5. Step 5: Solve for x
    x = 21,307,389,325.74/133,026.60
  6. Step 6: Final answer
    x = 160,173.90

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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.