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Finding the Fourth Proportional to 232,472.79, 320,846.27 and 130,540.41

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Solution

The fourth proportional to 232,472.79, 320,846.27 and 130,540.41 is: 180,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,472.79 : 320,846.27 = 130,540.41 : x
  2. Step 2: Convert to fraction form
    232,472.79/320,846.27 = 130,540.41/x
  3. Step 3: Cross multiply
    232,472.79x = 320,846.27 × 130,540.41
  4. Step 4: Simplify right side
    232,472.79x = 41,883,402,980.07
  5. Step 5: Solve for x
    x = 41,883,402,980.07/232,472.79
  6. Step 6: Final answer
    x = 180,164.75

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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.