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Finding the Fourth Proportional to 212,049, 317,900.76 and 117,275.40

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Solution

The fourth proportional to 212,049, 317,900.76 and 117,275.40 is: 175,817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,049 : 317,900.76 = 117,275.40 : x
  2. Step 2: Convert to fraction form
    212,049/317,900.76 = 117,275.40/x
  3. Step 3: Cross multiply
    212,049x = 317,900.76 × 117,275.40
  4. Step 4: Simplify right side
    212,049x = 37,281,938,789.30
  5. Step 5: Solve for x
    x = 37,281,938,789.30/212,049
  6. Step 6: Final answer
    x = 175,817.56

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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.