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Finding the Fourth Proportional to 202,906.56, 304,101.02 and 96,290.30

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Solution

The fourth proportional to 202,906.56, 304,101.02 and 96,290.30 is: 144,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,906.56 : 304,101.02 = 96,290.30 : x
  2. Step 2: Convert to fraction form
    202,906.56/304,101.02 = 96,290.30/x
  3. Step 3: Cross multiply
    202,906.56x = 304,101.02 × 96,290.30
  4. Step 4: Simplify right side
    202,906.56x = 29,281,978,446.11
  5. Step 5: Solve for x
    x = 29,281,978,446.11/202,906.56
  6. Step 6: Final answer
    x = 144,312.63

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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.