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Finding the Fourth Proportional to 252,105.40, 378,158.10 and 65,116.90

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Solution

The fourth proportional to 252,105.40, 378,158.10 and 65,116.90 is: 97,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,105.40 : 378,158.10 = 65,116.90 : x
  2. Step 2: Convert to fraction form
    252,105.40/378,158.10 = 65,116.90/x
  3. Step 3: Cross multiply
    252,105.40x = 378,158.10 × 65,116.90
  4. Step 4: Simplify right side
    252,105.40x = 24,624,483,181.89
  5. Step 5: Solve for x
    x = 24,624,483,181.89/252,105.40
  6. Step 6: Final answer
    x = 97,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.