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Finding the Fourth Proportional to 97,464.36, 134,501.92 and 57,178.80

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Solution

The fourth proportional to 97,464.36, 134,501.92 and 57,178.80 is: 78,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,464.36 : 134,501.92 = 57,178.80 : x
  2. Step 2: Convert to fraction form
    97,464.36/134,501.92 = 57,178.80/x
  3. Step 3: Cross multiply
    97,464.36x = 134,501.92 × 57,178.80
  4. Step 4: Simplify right side
    97,464.36x = 7,690,658,383.30
  5. Step 5: Solve for x
    x = 7,690,658,383.30/97,464.36
  6. Step 6: Final answer
    x = 78,907.39

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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.