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Finding the Fourth Proportional to 258,222.41, 355,971.36 and 180,456.62

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Solution

The fourth proportional to 258,222.41, 355,971.36 and 180,456.62 is: 248,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,222.41 : 355,971.36 = 180,456.62 : x
  2. Step 2: Convert to fraction form
    258,222.41/355,971.36 = 180,456.62/x
  3. Step 3: Cross multiply
    258,222.41x = 355,971.36 × 180,456.62
  4. Step 4: Simplify right side
    258,222.41x = 64,237,386,662.55
  5. Step 5: Solve for x
    x = 64,237,386,662.55/258,222.41
  6. Step 6: Final answer
    x = 248,767.67

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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.