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Finding the Fourth Proportional to 212,138.40, 318,200.40 and 54,368.40

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Solution

The fourth proportional to 212,138.40, 318,200.40 and 54,368.40 is: 81,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,138.40 : 318,200.40 = 54,368.40 : x
  2. Step 2: Convert to fraction form
    212,138.40/318,200.40 = 54,368.40/x
  3. Step 3: Cross multiply
    212,138.40x = 318,200.40 × 54,368.40
  4. Step 4: Simplify right side
    212,138.40x = 17,300,046,627.36
  5. Step 5: Solve for x
    x = 17,300,046,627.36/212,138.40
  6. Step 6: Final answer
    x = 81,550.75

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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.