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Finding the Fourth Proportional to 202,669.84, 304,004.66 and 52,908.84

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Solution

The fourth proportional to 202,669.84, 304,004.66 and 52,908.84 is: 79,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,669.84 : 304,004.66 = 52,908.84 : x
  2. Step 2: Convert to fraction form
    202,669.84/304,004.66 = 52,908.84/x
  3. Step 3: Cross multiply
    202,669.84x = 304,004.66 × 52,908.84
  4. Step 4: Simplify right side
    202,669.84x = 16,084,533,650.65
  5. Step 5: Solve for x
    x = 16,084,533,650.65/202,669.84
  6. Step 6: Final answer
    x = 79,363.23

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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.