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Finding the Fourth Proportional to 127,978.92, 191,998.64 and 57,858.12

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Solution

The fourth proportional to 127,978.92, 191,998.64 and 57,858.12 is: 86,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.92 : 191,998.64 = 57,858.12 : x
  2. Step 2: Convert to fraction form
    127,978.92/191,998.64 = 57,858.12/x
  3. Step 3: Cross multiply
    127,978.92x = 191,998.64 × 57,858.12
  4. Step 4: Simplify right side
    127,978.92x = 11,108,680,352.96
  5. Step 5: Solve for x
    x = 11,108,680,352.96/127,978.92
  6. Step 6: Final answer
    x = 86,800.86

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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.