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Finding the Fourth Proportional to 202,227.10, 303,535.05 and 102,499.90

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Solution

The fourth proportional to 202,227.10, 303,535.05 and 102,499.90 is: 153,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,227.10 : 303,535.05 = 102,499.90 : x
  2. Step 2: Convert to fraction form
    202,227.10/303,535.05 = 102,499.90/x
  3. Step 3: Cross multiply
    202,227.10x = 303,535.05 × 102,499.90
  4. Step 4: Simplify right side
    202,227.10x = 31,112,312,271.50
  5. Step 5: Solve for x
    x = 31,112,312,271.50/202,227.10
  6. Step 6: Final answer
    x = 153,848.38

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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.