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Finding the Fourth Proportional to 164,559.46, 227,087.48 and 97,491.46

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Solution

The fourth proportional to 164,559.46, 227,087.48 and 97,491.46 is: 134,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,559.46 : 227,087.48 = 97,491.46 : x
  2. Step 2: Convert to fraction form
    164,559.46/227,087.48 = 97,491.46/x
  3. Step 3: Cross multiply
    164,559.46x = 227,087.48 × 97,491.46
  4. Step 4: Simplify right side
    164,559.46x = 22,139,089,972.92
  5. Step 5: Solve for x
    x = 22,139,089,972.92/164,559.46
  6. Step 6: Final answer
    x = 134,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.