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Finding the Fourth Proportional to 142,289.79, 213,544.85 and 53,623.95

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Solution

The fourth proportional to 142,289.79, 213,544.85 and 53,623.95 is: 80,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,289.79 : 213,544.85 = 53,623.95 : x
  2. Step 2: Convert to fraction form
    142,289.79/213,544.85 = 53,623.95/x
  3. Step 3: Cross multiply
    142,289.79x = 213,544.85 × 53,623.95
  4. Step 4: Simplify right side
    142,289.79x = 11,451,118,091.04
  5. Step 5: Solve for x
    x = 11,451,118,091.04/142,289.79
  6. Step 6: Final answer
    x = 80,477.44

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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.