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Finding the Fourth Proportional to 286,309.80, 395,070.36 and 158,960.88

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Solution

The fourth proportional to 286,309.80, 395,070.36 and 158,960.88 is: 219,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,309.80 : 395,070.36 = 158,960.88 : x
  2. Step 2: Convert to fraction form
    286,309.80/395,070.36 = 158,960.88/x
  3. Step 3: Cross multiply
    286,309.80x = 395,070.36 × 158,960.88
  4. Step 4: Simplify right side
    286,309.80x = 62,800,732,087.52
  5. Step 5: Solve for x
    x = 62,800,732,087.52/286,309.80
  6. Step 6: Final answer
    x = 219,345.38

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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.