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Finding the Fourth Proportional to 202,139.40, 303,354.90 and 113,298.60

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Solution

The fourth proportional to 202,139.40, 303,354.90 and 113,298.60 is: 170,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.40 : 303,354.90 = 113,298.60 : x
  2. Step 2: Convert to fraction form
    202,139.40/303,354.90 = 113,298.60/x
  3. Step 3: Cross multiply
    202,139.40x = 303,354.90 × 113,298.60
  4. Step 4: Simplify right side
    202,139.40x = 34,369,685,473.14
  5. Step 5: Solve for x
    x = 34,369,685,473.14/202,139.40
  6. Step 6: Final answer
    x = 170,029.62

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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.