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Finding the Fourth Proportional to 140,893.95, 194,441.64 and 83,567.22

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Solution

The fourth proportional to 140,893.95, 194,441.64 and 83,567.22 is: 115,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,893.95 : 194,441.64 = 83,567.22 : x
  2. Step 2: Convert to fraction form
    140,893.95/194,441.64 = 83,567.22/x
  3. Step 3: Cross multiply
    140,893.95x = 194,441.64 × 83,567.22
  4. Step 4: Simplify right side
    140,893.95x = 16,248,947,307.04
  5. Step 5: Solve for x
    x = 16,248,947,307.04/140,893.95
  6. Step 6: Final answer
    x = 115,327.50

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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.