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Finding the Fourth Proportional to 178,455.76, 267,638.84 and 73,303.76

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Solution

The fourth proportional to 178,455.76, 267,638.84 and 73,303.76 is: 109,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,455.76 : 267,638.84 = 73,303.76 : x
  2. Step 2: Convert to fraction form
    178,455.76/267,638.84 = 73,303.76/x
  3. Step 3: Cross multiply
    178,455.76x = 267,638.84 × 73,303.76
  4. Step 4: Simplify right side
    178,455.76x = 19,618,933,294.04
  5. Step 5: Solve for x
    x = 19,618,933,294.04/178,455.76
  6. Step 6: Final answer
    x = 109,937.24

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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.