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Finding the Fourth Proportional to 211,515.48, 291,909.78 and 116,040.78

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Solution

The fourth proportional to 211,515.48, 291,909.78 and 116,040.78 is: 160,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,515.48 : 291,909.78 = 116,040.78 : x
  2. Step 2: Convert to fraction form
    211,515.48/291,909.78 = 116,040.78/x
  3. Step 3: Cross multiply
    211,515.48x = 291,909.78 × 116,040.78
  4. Step 4: Simplify right side
    211,515.48x = 33,873,438,560.83
  5. Step 5: Solve for x
    x = 33,873,438,560.83/211,515.48
  6. Step 6: Final answer
    x = 160,146.38

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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.