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Finding the Fourth Proportional to 204,651.36, 307,035.36 and 148,547.52

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Solution

The fourth proportional to 204,651.36, 307,035.36 and 148,547.52 is: 222,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,651.36 : 307,035.36 = 148,547.52 : x
  2. Step 2: Convert to fraction form
    204,651.36/307,035.36 = 148,547.52/x
  3. Step 3: Cross multiply
    204,651.36x = 307,035.36 × 148,547.52
  4. Step 4: Simplify right side
    204,651.36x = 45,609,341,280.31
  5. Step 5: Solve for x
    x = 45,609,341,280.31/204,651.36
  6. Step 6: Final answer
    x = 222,863.61

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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.