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Finding the Fourth Proportional to 270,515.64, 405,694.18 and 101,914.32

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Solution

The fourth proportional to 270,515.64, 405,694.18 and 101,914.32 is: 152,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,515.64 : 405,694.18 = 101,914.32 : x
  2. Step 2: Convert to fraction form
    270,515.64/405,694.18 = 101,914.32/x
  3. Step 3: Cross multiply
    270,515.64x = 405,694.18 × 101,914.32
  4. Step 4: Simplify right side
    270,515.64x = 41,346,046,482.66
  5. Step 5: Solve for x
    x = 41,346,046,482.66/270,515.64
  6. Step 6: Final answer
    x = 152,841.61

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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.