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Finding the Fourth Proportional to 178,322.40, 267,256.80 and 73,022.40

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Solution

The fourth proportional to 178,322.40, 267,256.80 and 73,022.40 is: 109,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,322.40 : 267,256.80 = 73,022.40 : x
  2. Step 2: Convert to fraction form
    178,322.40/267,256.80 = 73,022.40/x
  3. Step 3: Cross multiply
    178,322.40x = 267,256.80 × 73,022.40
  4. Step 4: Simplify right side
    178,322.40x = 19,515,732,952.32
  5. Step 5: Solve for x
    x = 19,515,732,952.32/178,322.40
  6. Step 6: Final answer
    x = 109,440.73

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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.