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Finding the Fourth Proportional to 140,907.06, 194,459.76 and 83,580.39

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Solution

The fourth proportional to 140,907.06, 194,459.76 and 83,580.39 is: 115,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,907.06 : 194,459.76 = 83,580.39 : x
  2. Step 2: Convert to fraction form
    140,907.06/194,459.76 = 83,580.39/x
  3. Step 3: Cross multiply
    140,907.06x = 194,459.76 × 83,580.39
  4. Step 4: Simplify right side
    140,907.06x = 16,253,022,580.11
  5. Step 5: Solve for x
    x = 16,253,022,580.11/140,907.06
  6. Step 6: Final answer
    x = 115,345.69

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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.