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Finding the Fourth Proportional to 275,341.81, 413,012.74 and 97,855.83

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Solution

The fourth proportional to 275,341.81, 413,012.74 and 97,855.83 is: 146,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,341.81 : 413,012.74 = 97,855.83 : x
  2. Step 2: Convert to fraction form
    275,341.81/413,012.74 = 97,855.83/x
  3. Step 3: Cross multiply
    275,341.81x = 413,012.74 × 97,855.83
  4. Step 4: Simplify right side
    275,341.81x = 40,415,702,408.21
  5. Step 5: Solve for x
    x = 40,415,702,408.21/275,341.81
  6. Step 6: Final answer
    x = 146,783.75

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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.