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Finding the Fourth Proportional to 134,173.13, 185,321.31 and 97,817

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Solution

The fourth proportional to 134,173.13, 185,321.31 and 97,817 is: 135,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,173.13 : 185,321.31 = 97,817 : x
  2. Step 2: Convert to fraction form
    134,173.13/185,321.31 = 97,817/x
  3. Step 3: Cross multiply
    134,173.13x = 185,321.31 × 97,817
  4. Step 4: Simplify right side
    134,173.13x = 18,127,574,580.27
  5. Step 5: Solve for x
    x = 18,127,574,580.27/134,173.13
  6. Step 6: Final answer
    x = 135,105.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.