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Finding the Fourth Proportional to 242,993.64, 335,323.62 and 142,458.60

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Solution

The fourth proportional to 242,993.64, 335,323.62 and 142,458.60 is: 196,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,993.64 : 335,323.62 = 142,458.60 : x
  2. Step 2: Convert to fraction form
    242,993.64/335,323.62 = 142,458.60/x
  3. Step 3: Cross multiply
    242,993.64x = 335,323.62 × 142,458.60
  4. Step 4: Simplify right side
    242,993.64x = 47,769,733,452.13
  5. Step 5: Solve for x
    x = 47,769,733,452.13/242,993.64
  6. Step 6: Final answer
    x = 196,588.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.