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Finding the Fourth Proportional to 137,941, 190,358.78 and 78,325

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Solution

The fourth proportional to 137,941, 190,358.78 and 78,325 is: 108,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,941 : 190,358.78 = 78,325 : x
  2. Step 2: Convert to fraction form
    137,941/190,358.78 = 78,325/x
  3. Step 3: Cross multiply
    137,941x = 190,358.78 × 78,325
  4. Step 4: Simplify right side
    137,941x = 14,909,851,443.50
  5. Step 5: Solve for x
    x = 14,909,851,443.50/137,941
  6. Step 6: Final answer
    x = 108,088.61

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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.