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Finding the Fourth Proportional to 212,065.20, 318,097.80 and 117,586.80

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Solution

The fourth proportional to 212,065.20, 318,097.80 and 117,586.80 is: 176,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,065.20 : 318,097.80 = 117,586.80 : x
  2. Step 2: Convert to fraction form
    212,065.20/318,097.80 = 117,586.80/x
  3. Step 3: Cross multiply
    212,065.20x = 318,097.80 × 117,586.80
  4. Step 4: Simplify right side
    212,065.20x = 37,404,102,389.04
  5. Step 5: Solve for x
    x = 37,404,102,389.04/212,065.20
  6. Step 6: Final answer
    x = 176,380.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.