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Finding the Fourth Proportional to 264,962.32, 397,574.93 and 105,034.87

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Solution

The fourth proportional to 264,962.32, 397,574.93 and 105,034.87 is: 157,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,962.32 : 397,574.93 = 105,034.87 : x
  2. Step 2: Convert to fraction form
    264,962.32/397,574.93 = 105,034.87/x
  3. Step 3: Cross multiply
    264,962.32x = 397,574.93 × 105,034.87
  4. Step 4: Simplify right side
    264,962.32x = 41,759,229,568.70
  5. Step 5: Solve for x
    x = 41,759,229,568.70/264,962.32
  6. Step 6: Final answer
    x = 157,604.41

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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.