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Finding the Fourth Proportional to 211,311.54, 316,866.97 and 122,592.24

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Solution

The fourth proportional to 211,311.54, 316,866.97 and 122,592.24 is: 183,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,311.54 : 316,866.97 = 122,592.24 : x
  2. Step 2: Convert to fraction form
    211,311.54/316,866.97 = 122,592.24/x
  3. Step 3: Cross multiply
    211,311.54x = 316,866.97 × 122,592.24
  4. Step 4: Simplify right side
    211,311.54x = 38,845,431,787.55
  5. Step 5: Solve for x
    x = 38,845,431,787.55/211,311.54
  6. Step 6: Final answer
    x = 183,830.15

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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.