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Finding the Fourth Proportional to 213,212.60, 319,818.27 and 86,823.08

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Solution

The fourth proportional to 213,212.60, 319,818.27 and 86,823.08 is: 130,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,212.60 : 319,818.27 = 86,823.08 : x
  2. Step 2: Convert to fraction form
    213,212.60/319,818.27 = 86,823.08/x
  3. Step 3: Cross multiply
    213,212.60x = 319,818.27 × 86,823.08
  4. Step 4: Simplify right side
    213,212.60x = 27,767,607,241.67
  5. Step 5: Solve for x
    x = 27,767,607,241.67/213,212.60
  6. Step 6: Final answer
    x = 130,234.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.