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Finding the Fourth Proportional to 264,095.64, 395,467.30 and 145,635.57

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Solution

The fourth proportional to 264,095.64, 395,467.30 and 145,635.57 is: 218,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,095.64 : 395,467.30 = 145,635.57 : x
  2. Step 2: Convert to fraction form
    264,095.64/395,467.30 = 145,635.57/x
  3. Step 3: Cross multiply
    264,095.64x = 395,467.30 × 145,635.57
  4. Step 4: Simplify right side
    264,095.64x = 57,594,103,674.52
  5. Step 5: Solve for x
    x = 57,594,103,674.52/264,095.64
  6. Step 6: Final answer
    x = 218,080.48

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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.