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Finding the Fourth Proportional to 203,564.58, 280,920.68 and 111,683.26

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Solution

The fourth proportional to 203,564.58, 280,920.68 and 111,683.26 is: 154,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,564.58 : 280,920.68 = 111,683.26 : x
  2. Step 2: Convert to fraction form
    203,564.58/280,920.68 = 111,683.26/x
  3. Step 3: Cross multiply
    203,564.58x = 280,920.68 × 111,683.26
  4. Step 4: Simplify right side
    203,564.58x = 31,374,137,343.82
  5. Step 5: Solve for x
    x = 31,374,137,343.82/203,564.58
  6. Step 6: Final answer
    x = 154,123.75

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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.