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Finding the Fourth Proportional to 202,686.64, 304,036.13 and 69,564.96

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Solution

The fourth proportional to 202,686.64, 304,036.13 and 69,564.96 is: 104,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,686.64 : 304,036.13 = 69,564.96 : x
  2. Step 2: Convert to fraction form
    202,686.64/304,036.13 = 69,564.96/x
  3. Step 3: Cross multiply
    202,686.64x = 304,036.13 × 69,564.96
  4. Step 4: Simplify right side
    202,686.64x = 21,150,261,395.92
  5. Step 5: Solve for x
    x = 21,150,261,395.92/202,686.64
  6. Step 6: Final answer
    x = 104,349.56

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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.