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Finding the Fourth Proportional to 211,146.80, 316,720.11 and 84,787

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Solution

The fourth proportional to 211,146.80, 316,720.11 and 84,787 is: 127,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,146.80 : 316,720.11 = 84,787 : x
  2. Step 2: Convert to fraction form
    211,146.80/316,720.11 = 84,787/x
  3. Step 3: Cross multiply
    211,146.80x = 316,720.11 × 84,787
  4. Step 4: Simplify right side
    211,146.80x = 26,853,747,542.64
  5. Step 5: Solve for x
    x = 26,853,747,542.64/211,146.80
  6. Step 6: Final answer
    x = 127,180.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.