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Finding the Fourth Proportional to 178,224.22, 267,292.50 and 78,409.54

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Solution

The fourth proportional to 178,224.22, 267,292.50 and 78,409.54 is: 117,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224.22 : 267,292.50 = 78,409.54 : x
  2. Step 2: Convert to fraction form
    178,224.22/267,292.50 = 78,409.54/x
  3. Step 3: Cross multiply
    178,224.22x = 267,292.50 × 78,409.54
  4. Step 4: Simplify right side
    178,224.22x = 20,958,281,970.45
  5. Step 5: Solve for x
    x = 20,958,281,970.45/178,224.22
  6. Step 6: Final answer
    x = 117,595.03

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1.5x scale

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.