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Finding the Fourth Proportional to 140,419.37, 210,712.28 and 51,735.10

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Solution

The fourth proportional to 140,419.37, 210,712.28 and 51,735.10 is: 77,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,419.37 : 210,712.28 = 51,735.10 : x
  2. Step 2: Convert to fraction form
    140,419.37/210,712.28 = 51,735.10/x
  3. Step 3: Cross multiply
    140,419.37x = 210,712.28 × 51,735.10
  4. Step 4: Simplify right side
    140,419.37x = 10,901,220,877.03
  5. Step 5: Solve for x
    x = 10,901,220,877.03/140,419.37
  6. Step 6: Final answer
    x = 77,633.31

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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.