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Finding the Fourth Proportional to 232,376.18, 320,678.22 and 130,401.38

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Solution

The fourth proportional to 232,376.18, 320,678.22 and 130,401.38 is: 179,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,376.18 : 320,678.22 = 130,401.38 : x
  2. Step 2: Convert to fraction form
    232,376.18/320,678.22 = 130,401.38/x
  3. Step 3: Cross multiply
    232,376.18x = 320,678.22 × 130,401.38
  4. Step 4: Simplify right side
    232,376.18x = 41,816,882,423.94
  5. Step 5: Solve for x
    x = 41,816,882,423.94/232,376.18
  6. Step 6: Final answer
    x = 179,953.39

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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.