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Finding the Fourth Proportional to 100,907.75, 151,374.18 and 34,342.76

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Solution

The fourth proportional to 100,907.75, 151,374.18 and 34,342.76 is: 51,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907.75 : 151,374.18 = 34,342.76 : x
  2. Step 2: Convert to fraction form
    100,907.75/151,374.18 = 34,342.76/x
  3. Step 3: Cross multiply
    100,907.75x = 151,374.18 × 34,342.76
  4. Step 4: Simplify right side
    100,907.75x = 5,198,607,133.94
  5. Step 5: Solve for x
    x = 5,198,607,133.94/100,907.75
  6. Step 6: Final answer
    x = 51,518.41

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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.