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Finding the Fourth Proportional to 120,146.37, 165,795.30 and 66,428.16

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Solution

The fourth proportional to 120,146.37, 165,795.30 and 66,428.16 is: 91,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,146.37 : 165,795.30 = 66,428.16 : x
  2. Step 2: Convert to fraction form
    120,146.37/165,795.30 = 66,428.16/x
  3. Step 3: Cross multiply
    120,146.37x = 165,795.30 × 66,428.16
  4. Step 4: Simplify right side
    120,146.37x = 11,013,476,715.65
  5. Step 5: Solve for x
    x = 11,013,476,715.65/120,146.37
  6. Step 6: Final answer
    x = 91,667.16

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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.