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Finding the Fourth Proportional to 103,042.09, 154,361.88 and 71,015.47

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Solution

The fourth proportional to 103,042.09, 154,361.88 and 71,015.47 is: 106,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042.09 : 154,361.88 = 71,015.47 : x
  2. Step 2: Convert to fraction form
    103,042.09/154,361.88 = 71,015.47/x
  3. Step 3: Cross multiply
    103,042.09x = 154,361.88 × 71,015.47
  4. Step 4: Simplify right side
    103,042.09x = 10,962,081,458.28
  5. Step 5: Solve for x
    x = 10,962,081,458.28/103,042.09
  6. Step 6: Final answer
    x = 106,384.50

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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.