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Finding the Fourth Proportional to 265,405.76, 397,122 and 158,842.96

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Solution

The fourth proportional to 265,405.76, 397,122 and 158,842.96 is: 237,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,405.76 : 397,122 = 158,842.96 : x
  2. Step 2: Convert to fraction form
    265,405.76/397,122 = 158,842.96/x
  3. Step 3: Cross multiply
    265,405.76x = 397,122 × 158,842.96
  4. Step 4: Simplify right side
    265,405.76x = 63,080,033,961.12
  5. Step 5: Solve for x
    x = 63,080,033,961.12/265,405.76
  6. Step 6: Final answer
    x = 237,673.94

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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.