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Finding the Fourth Proportional to 142,405.68, 213,619.92 and 42,558.60

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Solution

The fourth proportional to 142,405.68, 213,619.92 and 42,558.60 is: 63,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.68 : 213,619.92 = 42,558.60 : x
  2. Step 2: Convert to fraction form
    142,405.68/213,619.92 = 42,558.60/x
  3. Step 3: Cross multiply
    142,405.68x = 213,619.92 × 42,558.60
  4. Step 4: Simplify right side
    142,405.68x = 9,091,364,727.31
  5. Step 5: Solve for x
    x = 9,091,364,727.31/142,405.68
  6. Step 6: Final answer
    x = 63,841.31

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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.