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Finding the Fourth Proportional to 142,218.72, 213,349.68 and 53,478.36

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Solution

The fourth proportional to 142,218.72, 213,349.68 and 53,478.36 is: 80,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,218.72 : 213,349.68 = 53,478.36 : x
  2. Step 2: Convert to fraction form
    142,218.72/213,349.68 = 53,478.36/x
  3. Step 3: Cross multiply
    142,218.72x = 213,349.68 × 53,478.36
  4. Step 4: Simplify right side
    142,218.72x = 11,409,590,992.92
  5. Step 5: Solve for x
    x = 11,409,590,992.92/142,218.72
  6. Step 6: Final answer
    x = 80,225.66

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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.