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Finding the Fourth Proportional to 164,792.30, 247,188.44 and 76,019.54

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Solution

The fourth proportional to 164,792.30, 247,188.44 and 76,019.54 is: 114,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,792.30 : 247,188.44 = 76,019.54 : x
  2. Step 2: Convert to fraction form
    164,792.30/247,188.44 = 76,019.54/x
  3. Step 3: Cross multiply
    164,792.30x = 247,188.44 × 76,019.54
  4. Step 4: Simplify right side
    164,792.30x = 18,791,151,502.12
  5. Step 5: Solve for x
    x = 18,791,151,502.12/164,792.30
  6. Step 6: Final answer
    x = 114,029.31

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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.