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Finding the Fourth Proportional to 195,631.60, 293,447.40 and 142,495.60

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Solution

The fourth proportional to 195,631.60, 293,447.40 and 142,495.60 is: 213,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,631.60 : 293,447.40 = 142,495.60 : x
  2. Step 2: Convert to fraction form
    195,631.60/293,447.40 = 142,495.60/x
  3. Step 3: Cross multiply
    195,631.60x = 293,447.40 × 142,495.60
  4. Step 4: Simplify right side
    195,631.60x = 41,814,963,331.44
  5. Step 5: Solve for x
    x = 41,814,963,331.44/195,631.60
  6. Step 6: Final answer
    x = 213,743.40

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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.