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Finding the Fourth Proportional to 142,406.68, 213,621.42 and 42,559.60

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Solution

The fourth proportional to 142,406.68, 213,621.42 and 42,559.60 is: 63,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,406.68 : 213,621.42 = 42,559.60 : x
  2. Step 2: Convert to fraction form
    142,406.68/213,621.42 = 42,559.60/x
  3. Step 3: Cross multiply
    142,406.68x = 213,621.42 × 42,559.60
  4. Step 4: Simplify right side
    142,406.68x = 9,091,642,186.63
  5. Step 5: Solve for x
    x = 9,091,642,186.63/142,406.68
  6. Step 6: Final answer
    x = 63,842.81

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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.