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Finding the Fourth Proportional to 203,102.10, 304,705.71 and 118,933.38

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Solution

The fourth proportional to 203,102.10, 304,705.71 and 118,933.38 is: 178,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,102.10 : 304,705.71 = 118,933.38 : x
  2. Step 2: Convert to fraction form
    203,102.10/304,705.71 = 118,933.38/x
  3. Step 3: Cross multiply
    203,102.10x = 304,705.71 × 118,933.38
  4. Step 4: Simplify right side
    203,102.10x = 36,239,679,995.60
  5. Step 5: Solve for x
    x = 36,239,679,995.60/203,102.10
  6. Step 6: Final answer
    x = 178,430.85

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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.