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Finding the Fourth Proportional to 307,095.12, 460,776.54 and 107,558.64

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Solution

The fourth proportional to 307,095.12, 460,776.54 and 107,558.64 is: 161,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,095.12 : 460,776.54 = 107,558.64 : x
  2. Step 2: Convert to fraction form
    307,095.12/460,776.54 = 107,558.64/x
  3. Step 3: Cross multiply
    307,095.12x = 460,776.54 × 107,558.64
  4. Step 4: Simplify right side
    307,095.12x = 49,560,497,986.31
  5. Step 5: Solve for x
    x = 49,560,497,986.31/307,095.12
  6. Step 6: Final answer
    x = 161,384.84

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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.