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Finding the Fourth Proportional to 202,893.48, 304,280.76 and 76,442.50

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Solution

The fourth proportional to 202,893.48, 304,280.76 and 76,442.50 is: 114,641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,893.48 : 304,280.76 = 76,442.50 : x
  2. Step 2: Convert to fraction form
    202,893.48/304,280.76 = 76,442.50/x
  3. Step 3: Cross multiply
    202,893.48x = 304,280.76 × 76,442.50
  4. Step 4: Simplify right side
    202,893.48x = 23,259,981,996.30
  5. Step 5: Solve for x
    x = 23,259,981,996.30/202,893.48
  6. Step 6: Final answer
    x = 114,641.35

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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.