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Finding the Fourth Proportional to 307,184.82, 460,984.73 and 107,506.94

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Solution

The fourth proportional to 307,184.82, 460,984.73 and 107,506.94 is: 161,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,184.82 : 460,984.73 = 107,506.94 : x
  2. Step 2: Convert to fraction form
    307,184.82/460,984.73 = 107,506.94/x
  3. Step 3: Cross multiply
    307,184.82x = 460,984.73 × 107,506.94
  4. Step 4: Simplify right side
    307,184.82x = 49,559,054,866.57
  5. Step 5: Solve for x
    x = 49,559,054,866.57/307,184.82
  6. Step 6: Final answer
    x = 161,333.02

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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.