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Finding the Fourth Proportional to 102,853.30, 154,249.71 and 43,688.50

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Solution

The fourth proportional to 102,853.30, 154,249.71 and 43,688.50 is: 65,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853.30 : 154,249.71 = 43,688.50 : x
  2. Step 2: Convert to fraction form
    102,853.30/154,249.71 = 43,688.50/x
  3. Step 3: Cross multiply
    102,853.30x = 154,249.71 × 43,688.50
  4. Step 4: Simplify right side
    102,853.30x = 6,738,938,455.34
  5. Step 5: Solve for x
    x = 6,738,938,455.34/102,853.30
  6. Step 6: Final answer
    x = 65,519.91

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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.