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Finding the Fourth Proportional to 97,806.89, 146,841.56 and 57,899.61

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Solution

The fourth proportional to 97,806.89, 146,841.56 and 57,899.61 is: 86,927.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.89 : 146,841.56 = 57,899.61 : x
  2. Step 2: Convert to fraction form
    97,806.89/146,841.56 = 57,899.61/x
  3. Step 3: Cross multiply
    97,806.89x = 146,841.56 × 57,899.61
  4. Step 4: Simplify right side
    97,806.89x = 8,502,068,983.42
  5. Step 5: Solve for x
    x = 8,502,068,983.42/97,806.89
  6. Step 6: Final answer
    x = 86,927.09

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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.