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Finding the Fourth Proportional to 213,842, 294,762 and 168,448.16

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Solution

The fourth proportional to 213,842, 294,762 and 168,448.16 is: 232,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,842 : 294,762 = 168,448.16 : x
  2. Step 2: Convert to fraction form
    213,842/294,762 = 168,448.16/x
  3. Step 3: Cross multiply
    213,842x = 294,762 × 168,448.16
  4. Step 4: Simplify right side
    213,842x = 49,652,116,537.92
  5. Step 5: Solve for x
    x = 49,652,116,537.92/213,842
  6. Step 6: Final answer
    x = 232,190.67

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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.