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Finding the Fourth Proportional to 212,946.30, 319,419.45 and 119,439.90

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Solution

The fourth proportional to 212,946.30, 319,419.45 and 119,439.90 is: 179,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,946.30 : 319,419.45 = 119,439.90 : x
  2. Step 2: Convert to fraction form
    212,946.30/319,419.45 = 119,439.90/x
  3. Step 3: Cross multiply
    212,946.30x = 319,419.45 × 119,439.90
  4. Step 4: Simplify right side
    212,946.30x = 38,151,427,166.06
  5. Step 5: Solve for x
    x = 38,151,427,166.06/212,946.30
  6. Step 6: Final answer
    x = 179,159.85

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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.