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Finding the Fourth Proportional to 235,533.40, 352,493.70 and 142,106.20

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Solution

The fourth proportional to 235,533.40, 352,493.70 and 142,106.20 is: 212,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,533.40 : 352,493.70 = 142,106.20 : x
  2. Step 2: Convert to fraction form
    235,533.40/352,493.70 = 142,106.20/x
  3. Step 3: Cross multiply
    235,533.40x = 352,493.70 × 142,106.20
  4. Step 4: Simplify right side
    235,533.40x = 50,091,540,230.94
  5. Step 5: Solve for x
    x = 50,091,540,230.94/235,533.40
  6. Step 6: Final answer
    x = 212,672.77

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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.