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Finding the Fourth Proportional to 133,095.80, 199,352.10 and 118,321.40

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Solution

The fourth proportional to 133,095.80, 199,352.10 and 118,321.40 is: 177,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,095.80 : 199,352.10 = 118,321.40 : x
  2. Step 2: Convert to fraction form
    133,095.80/199,352.10 = 118,321.40/x
  3. Step 3: Cross multiply
    133,095.80x = 199,352.10 × 118,321.40
  4. Step 4: Simplify right side
    133,095.80x = 23,587,619,564.94
  5. Step 5: Solve for x
    x = 23,587,619,564.94/133,095.80
  6. Step 6: Final answer
    x = 177,222.87

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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.