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Finding the Fourth Proportional to 202,564.20, 304,036.92 and 102,795.96

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Solution

The fourth proportional to 202,564.20, 304,036.92 and 102,795.96 is: 154,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,564.20 : 304,036.92 = 102,795.96 : x
  2. Step 2: Convert to fraction form
    202,564.20/304,036.92 = 102,795.96/x
  3. Step 3: Cross multiply
    202,564.20x = 304,036.92 × 102,795.96
  4. Step 4: Simplify right side
    202,564.20x = 31,253,767,066.84
  5. Step 5: Solve for x
    x = 31,253,767,066.84/202,564.20
  6. Step 6: Final answer
    x = 154,290.67

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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.