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Finding the Fourth Proportional to 211,125.78, 291,348 and 120,480.12

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Solution

The fourth proportional to 211,125.78, 291,348 and 120,480.12 is: 166,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,125.78 : 291,348 = 120,480.12 : x
  2. Step 2: Convert to fraction form
    211,125.78/291,348 = 120,480.12/x
  3. Step 3: Cross multiply
    211,125.78x = 291,348 × 120,480.12
  4. Step 4: Simplify right side
    211,125.78x = 35,101,642,001.76
  5. Step 5: Solve for x
    x = 35,101,642,001.76/211,125.78
  6. Step 6: Final answer
    x = 166,259.38

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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.