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Finding the Fourth Proportional to 102,980.40, 154,297.80 and 50,276.40

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Solution

The fourth proportional to 102,980.40, 154,297.80 and 50,276.40 is: 75,330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.40 : 154,297.80 = 50,276.40 : x
  2. Step 2: Convert to fraction form
    102,980.40/154,297.80 = 50,276.40/x
  3. Step 3: Cross multiply
    102,980.40x = 154,297.80 × 50,276.40
  4. Step 4: Simplify right side
    102,980.40x = 7,757,537,911.92
  5. Step 5: Solve for x
    x = 7,757,537,911.92/102,980.40
  6. Step 6: Final answer
    x = 75,330.24

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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.