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Finding the Fourth Proportional to 102,796.30, 154,071.06 and 52,899.94

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Solution

The fourth proportional to 102,796.30, 154,071.06 and 52,899.94 is: 79,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,796.30 : 154,071.06 = 52,899.94 : x
  2. Step 2: Convert to fraction form
    102,796.30/154,071.06 = 52,899.94/x
  3. Step 3: Cross multiply
    102,796.30x = 154,071.06 × 52,899.94
  4. Step 4: Simplify right side
    102,796.30x = 8,150,349,829.74
  5. Step 5: Solve for x
    x = 8,150,349,829.74/102,796.30
  6. Step 6: Final answer
    x = 79,286.41

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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.