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Finding the Fourth Proportional to 174,683.64, 241,046.81 and 102,103.55

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Solution

The fourth proportional to 174,683.64, 241,046.81 and 102,103.55 is: 140,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,683.64 : 241,046.81 = 102,103.55 : x
  2. Step 2: Convert to fraction form
    174,683.64/241,046.81 = 102,103.55/x
  3. Step 3: Cross multiply
    174,683.64x = 241,046.81 × 102,103.55
  4. Step 4: Simplify right side
    174,683.64x = 24,611,735,214.38
  5. Step 5: Solve for x
    x = 24,611,735,214.38/174,683.64
  6. Step 6: Final answer
    x = 140,893.19

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Why These Related Problems?

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