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Finding the Fourth Proportional to 196,402.50, 271,015.31 and 110,347.80

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Solution

The fourth proportional to 196,402.50, 271,015.31 and 110,347.80 is: 152,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,402.50 : 271,015.31 = 110,347.80 : x
  2. Step 2: Convert to fraction form
    196,402.50/271,015.31 = 110,347.80/x
  3. Step 3: Cross multiply
    196,402.50x = 271,015.31 × 110,347.80
  4. Step 4: Simplify right side
    196,402.50x = 29,905,942,484.38
  5. Step 5: Solve for x
    x = 29,905,942,484.38/196,402.50
  6. Step 6: Final answer
    x = 152,268.64

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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.