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Finding the Fourth Proportional to 287,855.16, 397,245.30 and 158,808.36

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Solution

The fourth proportional to 287,855.16, 397,245.30 and 158,808.36 is: 219,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855.16 : 397,245.30 = 158,808.36 : x
  2. Step 2: Convert to fraction form
    287,855.16/397,245.30 = 158,808.36/x
  3. Step 3: Cross multiply
    287,855.16x = 397,245.30 × 158,808.36
  4. Step 4: Simplify right side
    287,855.16x = 63,085,874,610.71
  5. Step 5: Solve for x
    x = 63,085,874,610.71/287,855.16
  6. Step 6: Final answer
    x = 219,158.39

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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.