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Finding the Fourth Proportional to 142,509.72, 213,736.27 and 41,319.66

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Solution

The fourth proportional to 142,509.72, 213,736.27 and 41,319.66 is: 61,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,509.72 : 213,736.27 = 41,319.66 : x
  2. Step 2: Convert to fraction form
    142,509.72/213,736.27 = 41,319.66/x
  3. Step 3: Cross multiply
    142,509.72x = 213,736.27 × 41,319.66
  4. Step 4: Simplify right side
    142,509.72x = 8,831,510,006.07
  5. Step 5: Solve for x
    x = 8,831,510,006.07/142,509.72
  6. Step 6: Final answer
    x = 61,971.28

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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.