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Finding the Fourth Proportional to 102,904.30, 154,356.45 and 50,416.30

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Solution

The fourth proportional to 102,904.30, 154,356.45 and 50,416.30 is: 75,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904.30 : 154,356.45 = 50,416.30 : x
  2. Step 2: Convert to fraction form
    102,904.30/154,356.45 = 50,416.30/x
  3. Step 3: Cross multiply
    102,904.30x = 154,356.45 × 50,416.30
  4. Step 4: Simplify right side
    102,904.30x = 7,782,081,090.14
  5. Step 5: Solve for x
    x = 7,782,081,090.14/102,904.30
  6. Step 6: Final answer
    x = 75,624.45

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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.