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Finding the Fourth Proportional to 143,862.57, 198,526.52 and 83,429.43

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Solution

The fourth proportional to 143,862.57, 198,526.52 and 83,429.43 is: 115,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,862.57 : 198,526.52 = 83,429.43 : x
  2. Step 2: Convert to fraction form
    143,862.57/198,526.52 = 83,429.43/x
  3. Step 3: Cross multiply
    143,862.57x = 198,526.52 × 83,429.43
  4. Step 4: Simplify right side
    143,862.57x = 16,562,953,986.34
  5. Step 5: Solve for x
    x = 16,562,953,986.34/143,862.57
  6. Step 6: Final answer
    x = 115,130.39

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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.