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Finding the Fourth Proportional to 127,564.98, 191,358.25 and 38,819.25

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Solution

The fourth proportional to 127,564.98, 191,358.25 and 38,819.25 is: 58,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,564.98 : 191,358.25 = 38,819.25 : x
  2. Step 2: Convert to fraction form
    127,564.98/191,358.25 = 38,819.25/x
  3. Step 3: Cross multiply
    127,564.98x = 191,358.25 × 38,819.25
  4. Step 4: Simplify right side
    127,564.98x = 7,428,383,649.26
  5. Step 5: Solve for x
    x = 7,428,383,649.26/127,564.98
  6. Step 6: Final answer
    x = 58,232.16

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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.