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Finding the Fourth Proportional to 232,409.18, 320,756.84 and 130,440.71

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Solution

The fourth proportional to 232,409.18, 320,756.84 and 130,440.71 is: 180,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,409.18 : 320,756.84 = 130,440.71 : x
  2. Step 2: Convert to fraction form
    232,409.18/320,756.84 = 130,440.71/x
  3. Step 3: Cross multiply
    232,409.18x = 320,756.84 × 130,440.71
  4. Step 4: Simplify right side
    232,409.18x = 41,839,747,690.97
  5. Step 5: Solve for x
    x = 41,839,747,690.97/232,409.18
  6. Step 6: Final answer
    x = 180,026.23

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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.