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Finding the Fourth Proportional to 127,431.49, 191,152.10 and 65,029.09

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Solution

The fourth proportional to 127,431.49, 191,152.10 and 65,029.09 is: 97,546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431.49 : 191,152.10 = 65,029.09 : x
  2. Step 2: Convert to fraction form
    127,431.49/191,152.10 = 65,029.09/x
  3. Step 3: Cross multiply
    127,431.49x = 191,152.10 × 65,029.09
  4. Step 4: Simplify right side
    127,431.49x = 12,430,447,114.59
  5. Step 5: Solve for x
    x = 12,430,447,114.59/127,431.49
  6. Step 6: Final answer
    x = 97,546.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.