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Finding the Fourth Proportional to 140,214.40, 210,321.60 and 57,108.40

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Solution

The fourth proportional to 140,214.40, 210,321.60 and 57,108.40 is: 85,662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214.40 : 210,321.60 = 57,108.40 : x
  2. Step 2: Convert to fraction form
    140,214.40/210,321.60 = 57,108.40/x
  3. Step 3: Cross multiply
    140,214.40x = 210,321.60 × 57,108.40
  4. Step 4: Simplify right side
    140,214.40x = 12,011,130,061.44
  5. Step 5: Solve for x
    x = 12,011,130,061.44/140,214.40
  6. Step 6: Final answer
    x = 85,662.60

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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.