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Finding the Fourth Proportional to 103,051.63, 154,376.16 and 71,024.97

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Solution

The fourth proportional to 103,051.63, 154,376.16 and 71,024.97 is: 106,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,051.63 : 154,376.16 = 71,024.97 : x
  2. Step 2: Convert to fraction form
    103,051.63/154,376.16 = 71,024.97/x
  3. Step 3: Cross multiply
    103,051.63x = 154,376.16 × 71,024.97
  4. Step 4: Simplify right side
    103,051.63x = 10,964,562,132.72
  5. Step 5: Solve for x
    x = 10,964,562,132.72/103,051.63
  6. Step 6: Final answer
    x = 106,398.73

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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.