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Finding the Fourth Proportional to 305,987.31, 458,980.86 and 95,625.24

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Solution

The fourth proportional to 305,987.31, 458,980.86 and 95,625.24 is: 143,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,987.31 : 458,980.86 = 95,625.24 : x
  2. Step 2: Convert to fraction form
    305,987.31/458,980.86 = 95,625.24/x
  3. Step 3: Cross multiply
    305,987.31x = 458,980.86 × 95,625.24
  4. Step 4: Simplify right side
    305,987.31x = 43,890,154,892.91
  5. Step 5: Solve for x
    x = 43,890,154,892.91/305,987.31
  6. Step 6: Final answer
    x = 143,437.83

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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.