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Finding the Fourth Proportional to 142,164.72, 213,234.64 and 57,933.72

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Solution

The fourth proportional to 142,164.72, 213,234.64 and 57,933.72 is: 86,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.72 : 213,234.64 = 57,933.72 : x
  2. Step 2: Convert to fraction form
    142,164.72/213,234.64 = 57,933.72/x
  3. Step 3: Cross multiply
    142,164.72x = 213,234.64 × 57,933.72
  4. Step 4: Simplify right side
    142,164.72x = 12,353,475,928.06
  5. Step 5: Solve for x
    x = 12,353,475,928.06/142,164.72
  6. Step 6: Final answer
    x = 86,895.51

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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.