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Finding the Fourth Proportional to 212,830.40, 319,288.80 and 72,603.20

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Solution

The fourth proportional to 212,830.40, 319,288.80 and 72,603.20 is: 108,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,830.40 : 319,288.80 = 72,603.20 : x
  2. Step 2: Convert to fraction form
    212,830.40/319,288.80 = 72,603.20/x
  3. Step 3: Cross multiply
    212,830.40x = 319,288.80 × 72,603.20
  4. Step 4: Simplify right side
    212,830.40x = 23,181,388,604.16
  5. Step 5: Solve for x
    x = 23,181,388,604.16/212,830.40
  6. Step 6: Final answer
    x = 108,919.54

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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.