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Finding the Fourth Proportional to 213,438.60, 320,174.14 and 63,667.16

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Solution

The fourth proportional to 213,438.60, 320,174.14 and 63,667.16 is: 95,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,438.60 : 320,174.14 = 63,667.16 : x
  2. Step 2: Convert to fraction form
    213,438.60/320,174.14 = 63,667.16/x
  3. Step 3: Cross multiply
    213,438.60x = 320,174.14 × 63,667.16
  4. Step 4: Simplify right side
    213,438.60x = 20,384,578,199.24
  5. Step 5: Solve for x
    x = 20,384,578,199.24/213,438.60
  6. Step 6: Final answer
    x = 95,505.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.