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Finding the Fourth Proportional to 212,120.52, 318,097.40 and 77,152.55

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Solution

The fourth proportional to 212,120.52, 318,097.40 and 77,152.55 is: 115,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,120.52 : 318,097.40 = 77,152.55 : x
  2. Step 2: Convert to fraction form
    212,120.52/318,097.40 = 77,152.55/x
  3. Step 3: Cross multiply
    212,120.52x = 318,097.40 × 77,152.55
  4. Step 4: Simplify right side
    212,120.52x = 24,542,025,805.40
  5. Step 5: Solve for x
    x = 24,542,025,805.40/212,120.52
  6. Step 6: Final answer
    x = 115,698.50

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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.