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Finding the Fourth Proportional to 164,047.60, 245,936.40 and 74,096.20

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Solution

The fourth proportional to 164,047.60, 245,936.40 and 74,096.20 is: 111,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.60 : 245,936.40 = 74,096.20 : x
  2. Step 2: Convert to fraction form
    164,047.60/245,936.40 = 74,096.20/x
  3. Step 3: Cross multiply
    164,047.60x = 245,936.40 × 74,096.20
  4. Step 4: Simplify right side
    164,047.60x = 18,222,952,681.68
  5. Step 5: Solve for x
    x = 18,222,952,681.68/164,047.60
  6. Step 6: Final answer
    x = 111,083.32

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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.