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Finding the Fourth Proportional to 202,298.20, 303,447.30 and 123,566.20

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Solution

The fourth proportional to 202,298.20, 303,447.30 and 123,566.20 is: 185,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.20 : 303,447.30 = 123,566.20 : x
  2. Step 2: Convert to fraction form
    202,298.20/303,447.30 = 123,566.20/x
  3. Step 3: Cross multiply
    202,298.20x = 303,447.30 × 123,566.20
  4. Step 4: Simplify right side
    202,298.20x = 37,495,829,761.26
  5. Step 5: Solve for x
    x = 37,495,829,761.26/202,298.20
  6. Step 6: Final answer
    x = 185,349.30

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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.