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Finding the Fourth Proportional to 202,802.93, 304,181.15 and 53,057.67

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Solution

The fourth proportional to 202,802.93, 304,181.15 and 53,057.67 is: 79,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,802.93 : 304,181.15 = 53,057.67 : x
  2. Step 2: Convert to fraction form
    202,802.93/304,181.15 = 53,057.67/x
  3. Step 3: Cross multiply
    202,802.93x = 304,181.15 × 53,057.67
  4. Step 4: Simplify right side
    202,802.93x = 16,139,143,076.92
  5. Step 5: Solve for x
    x = 16,139,143,076.92/202,802.93
  6. Step 6: Final answer
    x = 79,580.42

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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.