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Finding the Fourth Proportional to 263,252.16, 363,296.32 and 144,020.16

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Solution

The fourth proportional to 263,252.16, 363,296.32 and 144,020.16 is: 198,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,252.16 : 363,296.32 = 144,020.16 : x
  2. Step 2: Convert to fraction form
    263,252.16/363,296.32 = 144,020.16/x
  3. Step 3: Cross multiply
    263,252.16x = 363,296.32 × 144,020.16
  4. Step 4: Simplify right side
    263,252.16x = 52,321,994,133.81
  5. Step 5: Solve for x
    x = 52,321,994,133.81/263,252.16
  6. Step 6: Final answer
    x = 198,752.38

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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.