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Finding the Fourth Proportional to 202,402.32, 303,197.40 and 185,867.52

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Solution

The fourth proportional to 202,402.32, 303,197.40 and 185,867.52 is: 278,428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,402.32 : 303,197.40 = 185,867.52 : x
  2. Step 2: Convert to fraction form
    202,402.32/303,197.40 = 185,867.52/x
  3. Step 3: Cross multiply
    202,402.32x = 303,197.40 × 185,867.52
  4. Step 4: Simplify right side
    202,402.32x = 56,354,548,808.45
  5. Step 5: Solve for x
    x = 56,354,548,808.45/202,402.32
  6. Step 6: Final answer
    x = 278,428.37

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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.