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Finding the Fourth Proportional to 140,875.82, 211,235.97 and 57,828.14

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Solution

The fourth proportional to 140,875.82, 211,235.97 and 57,828.14 is: 86,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,875.82 : 211,235.97 = 57,828.14 : x
  2. Step 2: Convert to fraction form
    140,875.82/211,235.97 = 57,828.14/x
  3. Step 3: Cross multiply
    140,875.82x = 211,235.97 × 57,828.14
  4. Step 4: Simplify right side
    140,875.82x = 12,215,383,246.20
  5. Step 5: Solve for x
    x = 12,215,383,246.20/140,875.82
  6. Step 6: Final answer
    x = 86,710.29

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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.