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Finding the Fourth Proportional to 203,482.40, 305,223.60 and 181,709.60

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Solution

The fourth proportional to 203,482.40, 305,223.60 and 181,709.60 is: 272,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.40 : 305,223.60 = 181,709.60 : x
  2. Step 2: Convert to fraction form
    203,482.40/305,223.60 = 181,709.60/x
  3. Step 3: Cross multiply
    203,482.40x = 305,223.60 × 181,709.60
  4. Step 4: Simplify right side
    203,482.40x = 55,462,058,266.56
  5. Step 5: Solve for x
    x = 55,462,058,266.56/203,482.40
  6. Step 6: Final answer
    x = 272,564.40

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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.