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Finding the Fourth Proportional to 97,245.98, 134,145.80 and 61,000.56

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Solution

The fourth proportional to 97,245.98, 134,145.80 and 61,000.56 is: 84,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,245.98 : 134,145.80 = 61,000.56 : x
  2. Step 2: Convert to fraction form
    97,245.98/134,145.80 = 61,000.56/x
  3. Step 3: Cross multiply
    97,245.98x = 134,145.80 × 61,000.56
  4. Step 4: Simplify right side
    97,245.98x = 8,182,968,107.91
  5. Step 5: Solve for x
    x = 8,182,968,107.91/97,245.98
  6. Step 6: Final answer
    x = 84,147.11

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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.