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Finding the Fourth Proportional to 133,146.64, 183,734.85 and 72,705.25

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Solution

The fourth proportional to 133,146.64, 183,734.85 and 72,705.25 is: 100,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,146.64 : 183,734.85 = 72,705.25 : x
  2. Step 2: Convert to fraction form
    133,146.64/183,734.85 = 72,705.25/x
  3. Step 3: Cross multiply
    133,146.64x = 183,734.85 × 72,705.25
  4. Step 4: Simplify right side
    133,146.64x = 13,358,488,202.96
  5. Step 5: Solve for x
    x = 13,358,488,202.96/133,146.64
  6. Step 6: Final answer
    x = 100,329.14

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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.