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Finding the Fourth Proportional to 164,768.79, 227,378.47 and 93,146.30

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Solution

The fourth proportional to 164,768.79, 227,378.47 and 93,146.30 is: 128,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,768.79 : 227,378.47 = 93,146.30 : x
  2. Step 2: Convert to fraction form
    164,768.79/227,378.47 = 93,146.30/x
  3. Step 3: Cross multiply
    164,768.79x = 227,378.47 × 93,146.30
  4. Step 4: Simplify right side
    164,768.79x = 21,179,463,180.16
  5. Step 5: Solve for x
    x = 21,179,463,180.16/164,768.79
  6. Step 6: Final answer
    x = 128,540.50

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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.