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Finding the Fourth Proportional to 307,133.91, 460,724.19 and 104,667.09

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Solution

The fourth proportional to 307,133.91, 460,724.19 and 104,667.09 is: 157,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,133.91 : 460,724.19 = 104,667.09 : x
  2. Step 2: Convert to fraction form
    307,133.91/460,724.19 = 104,667.09/x
  3. Step 3: Cross multiply
    307,133.91x = 460,724.19 × 104,667.09
  4. Step 4: Simplify right side
    307,133.91x = 48,222,660,259.91
  5. Step 5: Solve for x
    x = 48,222,660,259.91/307,133.91
  6. Step 6: Final answer
    x = 157,008.58

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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.