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Finding the Fourth Proportional to 104,425.36, 144,107.10 and 56,678.72

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Solution

The fourth proportional to 104,425.36, 144,107.10 and 56,678.72 is: 78,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,425.36 : 144,107.10 = 56,678.72 : x
  2. Step 2: Convert to fraction form
    104,425.36/144,107.10 = 56,678.72/x
  3. Step 3: Cross multiply
    104,425.36x = 144,107.10 × 56,678.72
  4. Step 4: Simplify right side
    104,425.36x = 8,167,805,250.38
  5. Step 5: Solve for x
    x = 8,167,805,250.38/104,425.36
  6. Step 6: Final answer
    x = 78,216.68

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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.