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Finding the Fourth Proportional to 143,938.52, 198,644.90 and 83,509.19

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Solution

The fourth proportional to 143,938.52, 198,644.90 and 83,509.19 is: 115,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,938.52 : 198,644.90 = 83,509.19 : x
  2. Step 2: Convert to fraction form
    143,938.52/198,644.90 = 83,509.19/x
  3. Step 3: Cross multiply
    143,938.52x = 198,644.90 × 83,509.19
  4. Step 4: Simplify right side
    143,938.52x = 16,588,674,696.63
  5. Step 5: Solve for x
    x = 16,588,674,696.63/143,938.52
  6. Step 6: Final answer
    x = 115,248.33

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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.