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Finding the Fourth Proportional to 102,795.30, 154,069.56 and 52,898.94

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Solution

The fourth proportional to 102,795.30, 154,069.56 and 52,898.94 is: 79,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795.30 : 154,069.56 = 52,898.94 : x
  2. Step 2: Convert to fraction form
    102,795.30/154,069.56 = 52,898.94/x
  3. Step 3: Cross multiply
    102,795.30x = 154,069.56 × 52,898.94
  4. Step 4: Simplify right side
    102,795.30x = 8,150,116,410.27
  5. Step 5: Solve for x
    x = 8,150,116,410.27/102,795.30
  6. Step 6: Final answer
    x = 79,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.