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Finding the Fourth Proportional to 202,664.40, 304,002.74 and 69,542.76

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Solution

The fourth proportional to 202,664.40, 304,002.74 and 69,542.76 is: 104,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,664.40 : 304,002.74 = 69,542.76 : x
  2. Step 2: Convert to fraction form
    202,664.40/304,002.74 = 69,542.76/x
  3. Step 3: Cross multiply
    202,664.40x = 304,002.74 × 69,542.76
  4. Step 4: Simplify right side
    202,664.40x = 21,141,189,587.16
  5. Step 5: Solve for x
    x = 21,141,189,587.16/202,664.40
  6. Step 6: Final answer
    x = 104,316.25

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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.