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Finding the Fourth Proportional to 195,477.84, 293,267.34 and 55,236.47

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Solution

The fourth proportional to 195,477.84, 293,267.34 and 55,236.47 is: 82,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,477.84 : 293,267.34 = 55,236.47 : x
  2. Step 2: Convert to fraction form
    195,477.84/293,267.34 = 55,236.47/x
  3. Step 3: Cross multiply
    195,477.84x = 293,267.34 × 55,236.47
  4. Step 4: Simplify right side
    195,477.84x = 16,199,051,161.55
  5. Step 5: Solve for x
    x = 16,199,051,161.55/195,477.84
  6. Step 6: Final answer
    x = 82,868.99

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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.