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Finding the Fourth Proportional to 202,669.46, 304,019.72 and 69,548.66

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Solution

The fourth proportional to 202,669.46, 304,019.72 and 69,548.66 is: 104,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,669.46 : 304,019.72 = 69,548.66 : x
  2. Step 2: Convert to fraction form
    202,669.46/304,019.72 = 69,548.66/x
  3. Step 3: Cross multiply
    202,669.46x = 304,019.72 × 69,548.66
  4. Step 4: Simplify right side
    202,669.46x = 21,144,163,791.83
  5. Step 5: Solve for x
    x = 21,144,163,791.83/202,669.46
  6. Step 6: Final answer
    x = 104,328.32

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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.