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Finding the Fourth Proportional to 211,571.29, 291,968.38 and 120,929.20

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Solution

The fourth proportional to 211,571.29, 291,968.38 and 120,929.20 is: 166,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,571.29 : 291,968.38 = 120,929.20 : x
  2. Step 2: Convert to fraction form
    211,571.29/291,968.38 = 120,929.20/x
  3. Step 3: Cross multiply
    211,571.29x = 291,968.38 × 120,929.20
  4. Step 4: Simplify right side
    211,571.29x = 35,307,502,618.70
  5. Step 5: Solve for x
    x = 35,307,502,618.70/211,571.29
  6. Step 6: Final answer
    x = 166,882.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.