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Finding the Fourth Proportional to 333,278.10, 500,033.80 and 96,634.98

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Solution

The fourth proportional to 333,278.10, 500,033.80 and 96,634.98 is: 144,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,278.10 : 500,033.80 = 96,634.98 : x
  2. Step 2: Convert to fraction form
    333,278.10/500,033.80 = 96,634.98/x
  3. Step 3: Cross multiply
    333,278.10x = 500,033.80 × 96,634.98
  4. Step 4: Simplify right side
    333,278.10x = 48,320,756,262.32
  5. Step 5: Solve for x
    x = 48,320,756,262.32/333,278.10
  6. Step 6: Final answer
    x = 144,986.29

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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.