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Finding the Fourth Proportional to 78,202, 117,230.12 and 30,842.80

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Solution

The fourth proportional to 78,202, 117,230.12 and 30,842.80 is: 46,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202 : 117,230.12 = 30,842.80 : x
  2. Step 2: Convert to fraction form
    78,202/117,230.12 = 30,842.80/x
  3. Step 3: Cross multiply
    78,202x = 117,230.12 × 30,842.80
  4. Step 4: Simplify right side
    78,202x = 3,615,705,145.14
  5. Step 5: Solve for x
    x = 3,615,705,145.14/78,202
  6. Step 6: Final answer
    x = 46,235.46

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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.