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Finding the Fourth Proportional to 202,960.89, 304,417.93 and 53,213.07

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Solution

The fourth proportional to 202,960.89, 304,417.93 and 53,213.07 is: 79,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,960.89 : 304,417.93 = 53,213.07 : x
  2. Step 2: Convert to fraction form
    202,960.89/304,417.93 = 53,213.07/x
  3. Step 3: Cross multiply
    202,960.89x = 304,417.93 × 53,213.07
  4. Step 4: Simplify right side
    202,960.89x = 16,199,012,544.19
  5. Step 5: Solve for x
    x = 16,199,012,544.19/202,960.89
  6. Step 6: Final answer
    x = 79,813.47

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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.