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Finding the Fourth Proportional to 185,140, 277,652.40 and 66,795.84

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Solution

The fourth proportional to 185,140, 277,652.40 and 66,795.84 is: 100,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,140 : 277,652.40 = 66,795.84 : x
  2. Step 2: Convert to fraction form
    185,140/277,652.40 = 66,795.84/x
  3. Step 3: Cross multiply
    185,140x = 277,652.40 × 66,795.84
  4. Step 4: Simplify right side
    185,140x = 18,546,025,286.02
  5. Step 5: Solve for x
    x = 18,546,025,286.02/185,140
  6. Step 6: Final answer
    x = 100,172.98

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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.