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Finding the Fourth Proportional to 97,775.88, 146,540.70 and 53,310.12

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Solution

The fourth proportional to 97,775.88, 146,540.70 and 53,310.12 is: 79,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775.88 : 146,540.70 = 53,310.12 : x
  2. Step 2: Convert to fraction form
    97,775.88/146,540.70 = 53,310.12/x
  3. Step 3: Cross multiply
    97,775.88x = 146,540.70 × 53,310.12
  4. Step 4: Simplify right side
    97,775.88x = 7,812,102,301.88
  5. Step 5: Solve for x
    x = 7,812,102,301.88/97,775.88
  6. Step 6: Final answer
    x = 79,898.05

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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.