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Finding the Fourth Proportional to 145,845, 201,266.18 and 78,777

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Solution

The fourth proportional to 145,845, 201,266.18 and 78,777 is: 108,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,845 : 201,266.18 = 78,777 : x
  2. Step 2: Convert to fraction form
    145,845/201,266.18 = 78,777/x
  3. Step 3: Cross multiply
    145,845x = 201,266.18 × 78,777
  4. Step 4: Simplify right side
    145,845x = 15,855,145,861.86
  5. Step 5: Solve for x
    x = 15,855,145,861.86/145,845
  6. Step 6: Final answer
    x = 108,712.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.