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Finding the Fourth Proportional to 127,980.54, 191,577.12 and 83,511.54

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Solution

The fourth proportional to 127,980.54, 191,577.12 and 83,511.54 is: 125,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,980.54 : 191,577.12 = 83,511.54 : x
  2. Step 2: Convert to fraction form
    127,980.54/191,577.12 = 83,511.54/x
  3. Step 3: Cross multiply
    127,980.54x = 191,577.12 × 83,511.54
  4. Step 4: Simplify right side
    127,980.54x = 15,998,900,319.96
  5. Step 5: Solve for x
    x = 15,998,900,319.96/127,980.54
  6. Step 6: Final answer
    x = 125,010.41

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1.5x scale

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.