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Finding the Fourth Proportional to 261,587.82, 361,003.05 and 154,162.38

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Solution

The fourth proportional to 261,587.82, 361,003.05 and 154,162.38 is: 212,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,587.82 : 361,003.05 = 154,162.38 : x
  2. Step 2: Convert to fraction form
    261,587.82/361,003.05 = 154,162.38/x
  3. Step 3: Cross multiply
    261,587.82x = 361,003.05 × 154,162.38
  4. Step 4: Simplify right side
    261,587.82x = 55,653,089,375.26
  5. Step 5: Solve for x
    x = 55,653,089,375.26/261,587.82
  6. Step 6: Final answer
    x = 212,751.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.