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Finding the Fourth Proportional to 142,572.96, 213,762.24 and 72,316.80

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Solution

The fourth proportional to 142,572.96, 213,762.24 and 72,316.80 is: 108,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.96 : 213,762.24 = 72,316.80 : x
  2. Step 2: Convert to fraction form
    142,572.96/213,762.24 = 72,316.80/x
  3. Step 3: Cross multiply
    142,572.96x = 213,762.24 × 72,316.80
  4. Step 4: Simplify right side
    142,572.96x = 15,458,601,157.63
  5. Step 5: Solve for x
    x = 15,458,601,157.63/142,572.96
  6. Step 6: Final answer
    x = 108,425.90

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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.