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Finding the Fourth Proportional to 142,412.40, 213,745.32 and 75,907.44

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Solution

The fourth proportional to 142,412.40, 213,745.32 and 75,907.44 is: 113,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412.40 : 213,745.32 = 75,907.44 : x
  2. Step 2: Convert to fraction form
    142,412.40/213,745.32 = 75,907.44/x
  3. Step 3: Cross multiply
    142,412.40x = 213,745.32 × 75,907.44
  4. Step 4: Simplify right side
    142,412.40x = 16,224,860,053.18
  5. Step 5: Solve for x
    x = 16,224,860,053.18/142,412.40
  6. Step 6: Final answer
    x = 113,928.70

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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.