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Finding the Fourth Proportional to 164,280.70, 246,383.88 and 75,448.81

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Solution

The fourth proportional to 164,280.70, 246,383.88 and 75,448.81 is: 113,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,280.70 : 246,383.88 = 75,448.81 : x
  2. Step 2: Convert to fraction form
    164,280.70/246,383.88 = 75,448.81/x
  3. Step 3: Cross multiply
    164,280.70x = 246,383.88 × 75,448.81
  4. Step 4: Simplify right side
    164,280.70x = 18,589,370,549.18
  5. Step 5: Solve for x
    x = 18,589,370,549.18/164,280.70
  6. Step 6: Final answer
    x = 113,156.14

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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.