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Finding the Fourth Proportional to 97,242.98, 134,160.41 and 56,942.03

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Solution

The fourth proportional to 97,242.98, 134,160.41 and 56,942.03 is: 78,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242.98 : 134,160.41 = 56,942.03 : x
  2. Step 2: Convert to fraction form
    97,242.98/134,160.41 = 56,942.03/x
  3. Step 3: Cross multiply
    97,242.98x = 134,160.41 × 56,942.03
  4. Step 4: Simplify right side
    97,242.98x = 7,639,365,135.52
  5. Step 5: Solve for x
    x = 7,639,365,135.52/97,242.98
  6. Step 6: Final answer
    x = 78,559.56

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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.