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Finding the Fourth Proportional to 178,090.52, 267,093.84 and 51,697.40

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Solution

The fourth proportional to 178,090.52, 267,093.84 and 51,697.40 is: 77,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,090.52 : 267,093.84 = 51,697.40 : x
  2. Step 2: Convert to fraction form
    178,090.52/267,093.84 = 51,697.40/x
  3. Step 3: Cross multiply
    178,090.52x = 267,093.84 × 51,697.40
  4. Step 4: Simplify right side
    178,090.52x = 13,808,057,084.02
  5. Step 5: Solve for x
    x = 13,808,057,084.02/178,090.52
  6. Step 6: Final answer
    x = 77,533.93

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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.