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Finding the Fourth Proportional to 178,296.63, 267,444.52 and 45,176.50

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Solution

The fourth proportional to 178,296.63, 267,444.52 and 45,176.50 is: 67,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,296.63 : 267,444.52 = 45,176.50 : x
  2. Step 2: Convert to fraction form
    178,296.63/267,444.52 = 45,176.50/x
  3. Step 3: Cross multiply
    178,296.63x = 267,444.52 × 45,176.50
  4. Step 4: Simplify right side
    178,296.63x = 12,082,207,579.14
  5. Step 5: Solve for x
    x = 12,082,207,579.14/178,296.63
  6. Step 6: Final answer
    x = 67,764.64

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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.