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Finding the Fourth Proportional to 202,148.70, 303,295.95 and 83,856.30

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Solution

The fourth proportional to 202,148.70, 303,295.95 and 83,856.30 is: 125,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.70 : 303,295.95 = 83,856.30 : x
  2. Step 2: Convert to fraction form
    202,148.70/303,295.95 = 83,856.30/x
  3. Step 3: Cross multiply
    202,148.70x = 303,295.95 × 83,856.30
  4. Step 4: Simplify right side
    202,148.70x = 25,433,276,171.99
  5. Step 5: Solve for x
    x = 25,433,276,171.99/202,148.70
  6. Step 6: Final answer
    x = 125,814.69

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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.