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Finding the Fourth Proportional to 202,804.92, 304,225.02 and 53,044.56

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Solution

The fourth proportional to 202,804.92, 304,225.02 and 53,044.56 is: 79,571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,804.92 : 304,225.02 = 53,044.56 : x
  2. Step 2: Convert to fraction form
    202,804.92/304,225.02 = 53,044.56/x
  3. Step 3: Cross multiply
    202,804.92x = 304,225.02 × 53,044.56
  4. Step 4: Simplify right side
    202,804.92x = 16,137,482,326.89
  5. Step 5: Solve for x
    x = 16,137,482,326.89/202,804.92
  6. Step 6: Final answer
    x = 79,571.45

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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.