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Finding the Fourth Proportional to 211,205.72, 291,464.12 and 114,409.80

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Solution

The fourth proportional to 211,205.72, 291,464.12 and 114,409.80 is: 157,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,205.72 : 291,464.12 = 114,409.80 : x
  2. Step 2: Convert to fraction form
    211,205.72/291,464.12 = 114,409.80/x
  3. Step 3: Cross multiply
    211,205.72x = 291,464.12 × 114,409.80
  4. Step 4: Simplify right side
    211,205.72x = 33,346,351,676.38
  5. Step 5: Solve for x
    x = 33,346,351,676.38/211,205.72
  6. Step 6: Final answer
    x = 157,885.65

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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.