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Finding the Fourth Proportional to 120,143.46, 165,795.02 and 66,427.10

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Solution

The fourth proportional to 120,143.46, 165,795.02 and 66,427.10 is: 91,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143.46 : 165,795.02 = 66,427.10 : x
  2. Step 2: Convert to fraction form
    120,143.46/165,795.02 = 66,427.10/x
  3. Step 3: Cross multiply
    120,143.46x = 165,795.02 × 66,427.10
  4. Step 4: Simplify right side
    120,143.46x = 11,013,282,373.04
  5. Step 5: Solve for x
    x = 11,013,282,373.04/120,143.46
  6. Step 6: Final answer
    x = 91,667.76

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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.