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Finding the Fourth Proportional to 212,221.65, 292,779.45 and 120,321.58

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Solution

The fourth proportional to 212,221.65, 292,779.45 and 120,321.58 is: 165,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,221.65 : 292,779.45 = 120,321.58 : x
  2. Step 2: Convert to fraction form
    212,221.65/292,779.45 = 120,321.58/x
  3. Step 3: Cross multiply
    212,221.65x = 292,779.45 × 120,321.58
  4. Step 4: Simplify right side
    212,221.65x = 35,227,684,839.90
  5. Step 5: Solve for x
    x = 35,227,684,839.90/212,221.65
  6. Step 6: Final answer
    x = 165,994.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.