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Finding the Fourth Proportional to 139,280.22, 208,893.61 and 39,416.30

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Solution

The fourth proportional to 139,280.22, 208,893.61 and 39,416.30 is: 59,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,280.22 : 208,893.61 = 39,416.30 : x
  2. Step 2: Convert to fraction form
    139,280.22/208,893.61 = 39,416.30/x
  3. Step 3: Cross multiply
    139,280.22x = 208,893.61 × 39,416.30
  4. Step 4: Simplify right side
    139,280.22x = 8,233,813,199.84
  5. Step 5: Solve for x
    x = 8,233,813,199.84/139,280.22
  6. Step 6: Final answer
    x = 59,116.89

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Why These Related Problems?

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