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Finding the Fourth Proportional to 143,438.34, 197,941.41 and 83,000.61

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Solution

The fourth proportional to 143,438.34, 197,941.41 and 83,000.61 is: 114,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,438.34 : 197,941.41 = 83,000.61 : x
  2. Step 2: Convert to fraction form
    143,438.34/197,941.41 = 83,000.61/x
  3. Step 3: Cross multiply
    143,438.34x = 197,941.41 × 83,000.61
  4. Step 4: Simplify right side
    143,438.34x = 16,429,257,774.26
  5. Step 5: Solve for x
    x = 16,429,257,774.26/143,438.34
  6. Step 6: Final answer
    x = 114,538.82

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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.