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Finding the Fourth Proportional to 78,197.10, 117,482.59 and 50,172.20

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Solution

The fourth proportional to 78,197.10, 117,482.59 and 50,172.20 is: 75,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.10 : 117,482.59 = 50,172.20 : x
  2. Step 2: Convert to fraction form
    78,197.10/117,482.59 = 50,172.20/x
  3. Step 3: Cross multiply
    78,197.10x = 117,482.59 × 50,172.20
  4. Step 4: Simplify right side
    78,197.10x = 5,894,360,002.00
  5. Step 5: Solve for x
    x = 5,894,360,002.00/78,197.10
  6. Step 6: Final answer
    x = 75,378.24

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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.