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Finding the Fourth Proportional to 202,298.30, 303,447.45 and 135,770.30

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Solution

The fourth proportional to 202,298.30, 303,447.45 and 135,770.30 is: 203,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.30 : 303,447.45 = 135,770.30 : x
  2. Step 2: Convert to fraction form
    202,298.30/303,447.45 = 135,770.30/x
  3. Step 3: Cross multiply
    202,298.30x = 303,447.45 × 135,770.30
  4. Step 4: Simplify right side
    202,298.30x = 41,199,151,320.74
  5. Step 5: Solve for x
    x = 41,199,151,320.74/202,298.30
  6. Step 6: Final answer
    x = 203,655.45

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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.