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Finding the Fourth Proportional to 204,948, 282,828.24 and 110,740

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Solution

The fourth proportional to 204,948, 282,828.24 and 110,740 is: 152,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,948 : 282,828.24 = 110,740 : x
  2. Step 2: Convert to fraction form
    204,948/282,828.24 = 110,740/x
  3. Step 3: Cross multiply
    204,948x = 282,828.24 × 110,740
  4. Step 4: Simplify right side
    204,948x = 31,320,399,297.60
  5. Step 5: Solve for x
    x = 31,320,399,297.60/204,948
  6. Step 6: Final answer
    x = 152,821.20

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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.