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Finding the Fourth Proportional to 133,073.90, 199,756.65 and 83,210.30

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Solution

The fourth proportional to 133,073.90, 199,756.65 and 83,210.30 is: 124,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.90 : 199,756.65 = 83,210.30 : x
  2. Step 2: Convert to fraction form
    133,073.90/199,756.65 = 83,210.30/x
  3. Step 3: Cross multiply
    133,073.90x = 199,756.65 × 83,210.30
  4. Step 4: Simplify right side
    133,073.90x = 16,621,810,773.50
  5. Step 5: Solve for x
    x = 16,621,810,773.50/133,073.90
  6. Step 6: Final answer
    x = 124,906.62

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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.