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Finding the Fourth Proportional to 205,059.70, 307,589.55 and 120,733.30

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Solution

The fourth proportional to 205,059.70, 307,589.55 and 120,733.30 is: 181,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.70 : 307,589.55 = 120,733.30 : x
  2. Step 2: Convert to fraction form
    205,059.70/307,589.55 = 120,733.30/x
  3. Step 3: Cross multiply
    205,059.70x = 307,589.55 × 120,733.30
  4. Step 4: Simplify right side
    205,059.70x = 37,136,301,417.02
  5. Step 5: Solve for x
    x = 37,136,301,417.02/205,059.70
  6. Step 6: Final answer
    x = 181,099.95

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1.5x scale

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.