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Finding the Fourth Proportional to 180,871.60, 271,307.40 and 133,632.40

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Solution

The fourth proportional to 180,871.60, 271,307.40 and 133,632.40 is: 200,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,871.60 : 271,307.40 = 133,632.40 : x
  2. Step 2: Convert to fraction form
    180,871.60/271,307.40 = 133,632.40/x
  3. Step 3: Cross multiply
    180,871.60x = 271,307.40 × 133,632.40
  4. Step 4: Simplify right side
    180,871.60x = 36,255,458,999.76
  5. Step 5: Solve for x
    x = 36,255,458,999.76/180,871.60
  6. Step 6: Final answer
    x = 200,448.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.