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Finding the Fourth Proportional to 133,097.80, 199,377.90 and 83,024.20

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Solution

The fourth proportional to 133,097.80, 199,377.90 and 83,024.20 is: 124,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.80 : 199,377.90 = 83,024.20 : x
  2. Step 2: Convert to fraction form
    133,097.80/199,377.90 = 83,024.20/x
  3. Step 3: Cross multiply
    133,097.80x = 199,377.90 × 83,024.20
  4. Step 4: Simplify right side
    133,097.80x = 16,553,190,645.18
  5. Step 5: Solve for x
    x = 16,553,190,645.18/133,097.80
  6. Step 6: Final answer
    x = 124,368.63

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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.