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Finding the Fourth Proportional to 101,214.36, 151,719.93 and 34,608.94

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Solution

The fourth proportional to 101,214.36, 151,719.93 and 34,608.94 is: 51,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,214.36 : 151,719.93 = 34,608.94 : x
  2. Step 2: Convert to fraction form
    101,214.36/151,719.93 = 34,608.94/x
  3. Step 3: Cross multiply
    101,214.36x = 151,719.93 × 34,608.94
  4. Step 4: Simplify right side
    101,214.36x = 5,250,865,954.17
  5. Step 5: Solve for x
    x = 5,250,865,954.17/101,214.36
  6. Step 6: Final answer
    x = 51,878.67

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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.