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Finding the Fourth Proportional to 286,809.14, 395,791.62 and 159,482.00

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Solution

The fourth proportional to 286,809.14, 395,791.62 and 159,482.00 is: 220,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,809.14 : 395,791.62 = 159,482.00 : x
  2. Step 2: Convert to fraction form
    286,809.14/395,791.62 = 159,482.00/x
  3. Step 3: Cross multiply
    286,809.14x = 395,791.62 × 159,482.00
  4. Step 4: Simplify right side
    286,809.14x = 63,121,637,161.88
  5. Step 5: Solve for x
    x = 63,121,637,161.88/286,809.14
  6. Step 6: Final answer
    x = 220,082.38

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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.