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Finding the Fourth Proportional to 103,264.80, 154,765.97 and 56,463

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Solution

The fourth proportional to 103,264.80, 154,765.97 and 56,463 is: 84,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,264.80 : 154,765.97 = 56,463 : x
  2. Step 2: Convert to fraction form
    103,264.80/154,765.97 = 56,463/x
  3. Step 3: Cross multiply
    103,264.80x = 154,765.97 × 56,463
  4. Step 4: Simplify right side
    103,264.80x = 8,738,550,964.11
  5. Step 5: Solve for x
    x = 8,738,550,964.11/103,264.80
  6. Step 6: Final answer
    x = 84,622.75

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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.