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Finding the Fourth Proportional to 303,542.19, 455,362.56 and 114,017.31

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Solution

The fourth proportional to 303,542.19, 455,362.56 and 114,017.31 is: 171,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,542.19 : 455,362.56 = 114,017.31 : x
  2. Step 2: Convert to fraction form
    303,542.19/455,362.56 = 114,017.31/x
  3. Step 3: Cross multiply
    303,542.19x = 455,362.56 × 114,017.31
  4. Step 4: Simplify right side
    303,542.19x = 51,919,214,165.91
  5. Step 5: Solve for x
    x = 51,919,214,165.91/303,542.19
  6. Step 6: Final answer
    x = 171,044.47

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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.