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Finding the Fourth Proportional to 286,051.20, 428,947.20 and 108,499.20

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Solution

The fourth proportional to 286,051.20, 428,947.20 and 108,499.20 is: 162,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,051.20 : 428,947.20 = 108,499.20 : x
  2. Step 2: Convert to fraction form
    286,051.20/428,947.20 = 108,499.20/x
  3. Step 3: Cross multiply
    286,051.20x = 428,947.20 × 108,499.20
  4. Step 4: Simplify right side
    286,051.20x = 46,540,428,042.24
  5. Step 5: Solve for x
    x = 46,540,428,042.24/286,051.20
  6. Step 6: Final answer
    x = 162,699.64

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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.