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Finding the Fourth Proportional to 212,784.30, 319,150.53 and 54,999.54

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Solution

The fourth proportional to 212,784.30, 319,150.53 and 54,999.54 is: 82,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784.30 : 319,150.53 = 54,999.54 : x
  2. Step 2: Convert to fraction form
    212,784.30/319,150.53 = 54,999.54/x
  3. Step 3: Cross multiply
    212,784.30x = 319,150.53 × 54,999.54
  4. Step 4: Simplify right side
    212,784.30x = 17,553,132,340.76
  5. Step 5: Solve for x
    x = 17,553,132,340.76/212,784.30
  6. Step 6: Final answer
    x = 82,492.61

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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.