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Finding the Fourth Proportional to 144,125.33, 198,911.30 and 83,683.94

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Solution

The fourth proportional to 144,125.33, 198,911.30 and 83,683.94 is: 115,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,125.33 : 198,911.30 = 83,683.94 : x
  2. Step 2: Convert to fraction form
    144,125.33/198,911.30 = 83,683.94/x
  3. Step 3: Cross multiply
    144,125.33x = 198,911.30 × 83,683.94
  4. Step 4: Simplify right side
    144,125.33x = 16,645,679,881.55
  5. Step 5: Solve for x
    x = 16,645,679,881.55/144,125.33
  6. Step 6: Final answer
    x = 115,494.48

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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.