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Finding the Fourth Proportional to 139,867.86, 209,984.72 and 83,045.50

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Solution

The fourth proportional to 139,867.86, 209,984.72 and 83,045.50 is: 124,676.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,867.86 : 209,984.72 = 83,045.50 : x
  2. Step 2: Convert to fraction form
    139,867.86/209,984.72 = 83,045.50/x
  3. Step 3: Cross multiply
    139,867.86x = 209,984.72 × 83,045.50
  4. Step 4: Simplify right side
    139,867.86x = 17,438,285,014.84
  5. Step 5: Solve for x
    x = 17,438,285,014.84/139,867.86
  6. Step 6: Final answer
    x = 124,676.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.