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Finding the Fourth Proportional to 127,461.12, 190,116 and 110,689.28

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Solution

The fourth proportional to 127,461.12, 190,116 and 110,689.28 is: 165,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,461.12 : 190,116 = 110,689.28 : x
  2. Step 2: Convert to fraction form
    127,461.12/190,116 = 110,689.28/x
  3. Step 3: Cross multiply
    127,461.12x = 190,116 × 110,689.28
  4. Step 4: Simplify right side
    127,461.12x = 21,043,803,156.48
  5. Step 5: Solve for x
    x = 21,043,803,156.48/127,461.12
  6. Step 6: Final answer
    x = 165,099.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.