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Finding the Fourth Proportional to 102,948.36, 154,373.22 and 50,296.20

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Solution

The fourth proportional to 102,948.36, 154,373.22 and 50,296.20 is: 75,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,948.36 : 154,373.22 = 50,296.20 : x
  2. Step 2: Convert to fraction form
    102,948.36/154,373.22 = 50,296.20/x
  3. Step 3: Cross multiply
    102,948.36x = 154,373.22 × 50,296.20
  4. Step 4: Simplify right side
    102,948.36x = 7,764,386,347.76
  5. Step 5: Solve for x
    x = 7,764,386,347.76/102,948.36
  6. Step 6: Final answer
    x = 75,420.20

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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.