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Finding the Fourth Proportional to 135,010, 186,311.88 and 78,453.20

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Solution

The fourth proportional to 135,010, 186,311.88 and 78,453.20 is: 108,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,010 : 186,311.88 = 78,453.20 : x
  2. Step 2: Convert to fraction form
    135,010/186,311.88 = 78,453.20/x
  3. Step 3: Cross multiply
    135,010x = 186,311.88 × 78,453.20
  4. Step 4: Simplify right side
    135,010x = 14,616,763,184.02
  5. Step 5: Solve for x
    x = 14,616,763,184.02/135,010
  6. Step 6: Final answer
    x = 108,264.30

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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.