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Finding the Fourth Proportional to 178,501.50, 267,822.35 and 78,591.60

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Solution

The fourth proportional to 178,501.50, 267,822.35 and 78,591.60 is: 117,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,501.50 : 267,822.35 = 78,591.60 : x
  2. Step 2: Convert to fraction form
    178,501.50/267,822.35 = 78,591.60/x
  3. Step 3: Cross multiply
    178,501.50x = 267,822.35 × 78,591.60
  4. Step 4: Simplify right side
    178,501.50x = 21,048,586,609.30
  5. Step 5: Solve for x
    x = 21,048,586,609.30/178,501.50
  6. Step 6: Final answer
    x = 117,918.26

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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.