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Finding the Fourth Proportional to 164,495.56, 246,706.44 and 75,663.76

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Solution

The fourth proportional to 164,495.56, 246,706.44 and 75,663.76 is: 113,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,495.56 : 246,706.44 = 75,663.76 : x
  2. Step 2: Convert to fraction form
    164,495.56/246,706.44 = 75,663.76/x
  3. Step 3: Cross multiply
    164,495.56x = 246,706.44 × 75,663.76
  4. Step 4: Simplify right side
    164,495.56x = 18,666,736,866.61
  5. Step 5: Solve for x
    x = 18,666,736,866.61/164,495.56
  6. Step 6: Final answer
    x = 113,478.67

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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.