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Finding the Fourth Proportional to 142,212.96, 213,436.08 and 72,112.32

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Solution

The fourth proportional to 142,212.96, 213,436.08 and 72,112.32 is: 108,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212.96 : 213,436.08 = 72,112.32 : x
  2. Step 2: Convert to fraction form
    142,212.96/213,436.08 = 72,112.32/x
  3. Step 3: Cross multiply
    142,212.96x = 213,436.08 × 72,112.32
  4. Step 4: Simplify right side
    142,212.96x = 15,391,370,900.51
  5. Step 5: Solve for x
    x = 15,391,370,900.51/142,212.96
  6. Step 6: Final answer
    x = 108,227.62

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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.