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Finding the Fourth Proportional to 202,093.78, 303,140.64 and 113,354.20

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Solution

The fourth proportional to 202,093.78, 303,140.64 and 113,354.20 is: 170,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,093.78 : 303,140.64 = 113,354.20 : x
  2. Step 2: Convert to fraction form
    202,093.78/303,140.64 = 113,354.20/x
  3. Step 3: Cross multiply
    202,093.78x = 303,140.64 × 113,354.20
  4. Step 4: Simplify right side
    202,093.78x = 34,362,264,734.69
  5. Step 5: Solve for x
    x = 34,362,264,734.69/202,093.78
  6. Step 6: Final answer
    x = 170,031.28

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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.