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Finding the Fourth Proportional to 178,047.80, 267,071.70 and 111,692.60

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Solution

The fourth proportional to 178,047.80, 267,071.70 and 111,692.60 is: 167,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,047.80 : 267,071.70 = 111,692.60 : x
  2. Step 2: Convert to fraction form
    178,047.80/267,071.70 = 111,692.60/x
  3. Step 3: Cross multiply
    178,047.80x = 267,071.70 × 111,692.60
  4. Step 4: Simplify right side
    178,047.80x = 29,829,932,559.42
  5. Step 5: Solve for x
    x = 29,829,932,559.42/178,047.80
  6. Step 6: Final answer
    x = 167,538.90

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Why These Related Problems?

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