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Finding the Fourth Proportional to 209,533.58, 289,156.34 and 114,040.96

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Solution

The fourth proportional to 209,533.58, 289,156.34 and 114,040.96 is: 157,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,533.58 : 289,156.34 = 114,040.96 : x
  2. Step 2: Convert to fraction form
    209,533.58/289,156.34 = 114,040.96/x
  3. Step 3: Cross multiply
    209,533.58x = 289,156.34 × 114,040.96
  4. Step 4: Simplify right side
    209,533.58x = 32,975,665,157.90
  5. Step 5: Solve for x
    x = 32,975,665,157.90/209,533.58
  6. Step 6: Final answer
    x = 157,376.52

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