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Finding the Fourth Proportional to 202,848.60, 304,272.90 and 197,664.60

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Solution

The fourth proportional to 202,848.60, 304,272.90 and 197,664.60 is: 296,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,848.60 : 304,272.90 = 197,664.60 : x
  2. Step 2: Convert to fraction form
    202,848.60/304,272.90 = 197,664.60/x
  3. Step 3: Cross multiply
    202,848.60x = 304,272.90 × 197,664.60
  4. Step 4: Simplify right side
    202,848.60x = 60,143,981,069.34
  5. Step 5: Solve for x
    x = 60,143,981,069.34/202,848.60
  6. Step 6: Final answer
    x = 296,496.90

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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.