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Finding the Fourth Proportional to 211,076.88, 316,631.82 and 61,319.64

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Solution

The fourth proportional to 211,076.88, 316,631.82 and 61,319.64 is: 91,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,076.88 : 316,631.82 = 61,319.64 : x
  2. Step 2: Convert to fraction form
    211,076.88/316,631.82 = 61,319.64/x
  3. Step 3: Cross multiply
    211,076.88x = 316,631.82 × 61,319.64
  4. Step 4: Simplify right side
    211,076.88x = 19,415,749,214.94
  5. Step 5: Solve for x
    x = 19,415,749,214.94/211,076.88
  6. Step 6: Final answer
    x = 91,984.25

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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.