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Finding the Fourth Proportional to 116,108.63, 174,178.46 and 45,971.54

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Solution

The fourth proportional to 116,108.63, 174,178.46 and 45,971.54 is: 68,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,108.63 : 174,178.46 = 45,971.54 : x
  2. Step 2: Convert to fraction form
    116,108.63/174,178.46 = 45,971.54/x
  3. Step 3: Cross multiply
    116,108.63x = 174,178.46 × 45,971.54
  4. Step 4: Simplify right side
    116,108.63x = 8,007,251,285.06
  5. Step 5: Solve for x
    x = 8,007,251,285.06/116,108.63
  6. Step 6: Final answer
    x = 68,963.45

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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.