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Finding the Fourth Proportional to 135,361.98, 202,074.17 and 117,652.14

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Solution

The fourth proportional to 135,361.98, 202,074.17 and 117,652.14 is: 175,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,361.98 : 202,074.17 = 117,652.14 : x
  2. Step 2: Convert to fraction form
    135,361.98/202,074.17 = 117,652.14/x
  3. Step 3: Cross multiply
    135,361.98x = 202,074.17 × 117,652.14
  4. Step 4: Simplify right side
    135,361.98x = 23,774,457,950.96
  5. Step 5: Solve for x
    x = 23,774,457,950.96/135,361.98
  6. Step 6: Final answer
    x = 175,636.16

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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.