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Finding the Fourth Proportional to 139,533.96, 209,299.23 and 34,353.84

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Solution

The fourth proportional to 139,533.96, 209,299.23 and 34,353.84 is: 51,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,533.96 : 209,299.23 = 34,353.84 : x
  2. Step 2: Convert to fraction form
    139,533.96/209,299.23 = 34,353.84/x
  3. Step 3: Cross multiply
    139,533.96x = 209,299.23 × 34,353.84
  4. Step 4: Simplify right side
    139,533.96x = 7,190,232,259.54
  5. Step 5: Solve for x
    x = 7,190,232,259.54/139,533.96
  6. Step 6: Final answer
    x = 51,530.34

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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.