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Finding the Fourth Proportional to 127,116.90, 190,675.35 and 107,433.90

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Solution

The fourth proportional to 127,116.90, 190,675.35 and 107,433.90 is: 161,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116.90 : 190,675.35 = 107,433.90 : x
  2. Step 2: Convert to fraction form
    127,116.90/190,675.35 = 107,433.90/x
  3. Step 3: Cross multiply
    127,116.90x = 190,675.35 × 107,433.90
  4. Step 4: Simplify right side
    127,116.90x = 20,484,996,484.37
  5. Step 5: Solve for x
    x = 20,484,996,484.37/127,116.90
  6. Step 6: Final answer
    x = 161,150.85

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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.