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Finding the Fourth Proportional to 100,968.16, 151,494 and 41,815.84

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Solution

The fourth proportional to 100,968.16, 151,494 and 41,815.84 is: 62,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,968.16 : 151,494 = 41,815.84 : x
  2. Step 2: Convert to fraction form
    100,968.16/151,494 = 41,815.84/x
  3. Step 3: Cross multiply
    100,968.16x = 151,494 × 41,815.84
  4. Step 4: Simplify right side
    100,968.16x = 6,334,848,864.96
  5. Step 5: Solve for x
    x = 6,334,848,864.96/100,968.16
  6. Step 6: Final answer
    x = 62,741.05

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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.