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Finding the Fourth Proportional to 103,076.63, 154,633.40 and 53,143.32

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Solution

The fourth proportional to 103,076.63, 154,633.40 and 53,143.32 is: 79,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076.63 : 154,633.40 = 53,143.32 : x
  2. Step 2: Convert to fraction form
    103,076.63/154,633.40 = 53,143.32/x
  3. Step 3: Cross multiply
    103,076.63x = 154,633.40 × 53,143.32
  4. Step 4: Simplify right side
    103,076.63x = 8,217,731,993.17
  5. Step 5: Solve for x
    x = 8,217,731,993.17/103,076.63
  6. Step 6: Final answer
    x = 79,724.50

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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.