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Finding the Fourth Proportional to 164,947.90, 227,614.50 and 96,967.75

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Solution

The fourth proportional to 164,947.90, 227,614.50 and 96,967.75 is: 133,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,947.90 : 227,614.50 = 96,967.75 : x
  2. Step 2: Convert to fraction form
    164,947.90/227,614.50 = 96,967.75/x
  3. Step 3: Cross multiply
    164,947.90x = 227,614.50 × 96,967.75
  4. Step 4: Simplify right side
    164,947.90x = 22,071,265,932.38
  5. Step 5: Solve for x
    x = 22,071,265,932.38/164,947.90
  6. Step 6: Final answer
    x = 133,807.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.