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Finding the Fourth Proportional to 212,835.60, 319,267.98 and 55,080

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Solution

The fourth proportional to 212,835.60, 319,267.98 and 55,080 is: 82,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,835.60 : 319,267.98 = 55,080 : x
  2. Step 2: Convert to fraction form
    212,835.60/319,267.98 = 55,080/x
  3. Step 3: Cross multiply
    212,835.60x = 319,267.98 × 55,080
  4. Step 4: Simplify right side
    212,835.60x = 17,585,280,338.40
  5. Step 5: Solve for x
    x = 17,585,280,338.40/212,835.60
  6. Step 6: Final answer
    x = 82,623.77

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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.