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Finding the Fourth Proportional to 202,859.36, 304,438.40 and 96,243.52

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Solution

The fourth proportional to 202,859.36, 304,438.40 and 96,243.52 is: 144,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,859.36 : 304,438.40 = 96,243.52 : x
  2. Step 2: Convert to fraction form
    202,859.36/304,438.40 = 96,243.52/x
  3. Step 3: Cross multiply
    202,859.36x = 304,438.40 × 96,243.52
  4. Step 4: Simplify right side
    202,859.36x = 29,300,223,239.17
  5. Step 5: Solve for x
    x = 29,300,223,239.17/202,859.36
  6. Step 6: Final answer
    x = 144,436.14

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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.