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Finding the Fourth Proportional to 212,858.04, 319,287.06 and 86,511

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Solution

The fourth proportional to 212,858.04, 319,287.06 and 86,511 is: 129,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.04 : 319,287.06 = 86,511 : x
  2. Step 2: Convert to fraction form
    212,858.04/319,287.06 = 86,511/x
  3. Step 3: Cross multiply
    212,858.04x = 319,287.06 × 86,511
  4. Step 4: Simplify right side
    212,858.04x = 27,621,842,847.66
  5. Step 5: Solve for x
    x = 27,621,842,847.66/212,858.04
  6. Step 6: Final answer
    x = 129,766.50

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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.