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Finding the Fourth Proportional to 146,405.64, 219,621.42 and 41,225.64

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Solution

The fourth proportional to 146,405.64, 219,621.42 and 41,225.64 is: 61,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,405.64 : 219,621.42 = 41,225.64 : x
  2. Step 2: Convert to fraction form
    146,405.64/219,621.42 = 41,225.64/x
  3. Step 3: Cross multiply
    146,405.64x = 219,621.42 × 41,225.64
  4. Step 4: Simplify right side
    146,405.64x = 9,054,033,597.21
  5. Step 5: Solve for x
    x = 9,054,033,597.21/146,405.64
  6. Step 6: Final answer
    x = 61,842.11

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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.