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Finding the Fourth Proportional to 146,059.81, 219,081.51 and 51,294.36

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Solution

The fourth proportional to 146,059.81, 219,081.51 and 51,294.36 is: 76,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,059.81 : 219,081.51 = 51,294.36 : x
  2. Step 2: Convert to fraction form
    146,059.81/219,081.51 = 51,294.36/x
  3. Step 3: Cross multiply
    146,059.81x = 219,081.51 × 51,294.36
  4. Step 4: Simplify right side
    146,059.81x = 11,237,646,664.84
  5. Step 5: Solve for x
    x = 11,237,646,664.84/146,059.81
  6. Step 6: Final answer
    x = 76,938.67

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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.