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Finding the Fourth Proportional to 273,881.20, 410,821.80 and 96,386.80

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Solution

The fourth proportional to 273,881.20, 410,821.80 and 96,386.80 is: 144,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,881.20 : 410,821.80 = 96,386.80 : x
  2. Step 2: Convert to fraction form
    273,881.20/410,821.80 = 96,386.80/x
  3. Step 3: Cross multiply
    273,881.20x = 410,821.80 × 96,386.80
  4. Step 4: Simplify right side
    273,881.20x = 39,597,798,672.24
  5. Step 5: Solve for x
    x = 39,597,798,672.24/273,881.20
  6. Step 6: Final answer
    x = 144,580.20

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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.