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Finding the Fourth Proportional to 152,977.21, 211,107.16 and 84,994.31

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Solution

The fourth proportional to 152,977.21, 211,107.16 and 84,994.31 is: 117,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,977.21 : 211,107.16 = 84,994.31 : x
  2. Step 2: Convert to fraction form
    152,977.21/211,107.16 = 84,994.31/x
  3. Step 3: Cross multiply
    152,977.21x = 211,107.16 × 84,994.31
  4. Step 4: Simplify right side
    152,977.21x = 17,942,908,034.27
  5. Step 5: Solve for x
    x = 17,942,908,034.27/152,977.21
  6. Step 6: Final answer
    x = 117,291.38

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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.