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Finding the Fourth Proportional to 142,771.40, 214,157.10 and 76,416.20

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Solution

The fourth proportional to 142,771.40, 214,157.10 and 76,416.20 is: 114,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,771.40 : 214,157.10 = 76,416.20 : x
  2. Step 2: Convert to fraction form
    142,771.40/214,157.10 = 76,416.20/x
  3. Step 3: Cross multiply
    142,771.40x = 214,157.10 × 76,416.20
  4. Step 4: Simplify right side
    142,771.40x = 16,365,071,785.02
  5. Step 5: Solve for x
    x = 16,365,071,785.02/142,771.40
  6. Step 6: Final answer
    x = 114,624.30

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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.