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Finding the Fourth Proportional to 178,682.57, 267,964.35 and 72,038.98

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Solution

The fourth proportional to 178,682.57, 267,964.35 and 72,038.98 is: 108,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,682.57 : 267,964.35 = 72,038.98 : x
  2. Step 2: Convert to fraction form
    178,682.57/267,964.35 = 72,038.98/x
  3. Step 3: Cross multiply
    178,682.57x = 267,964.35 × 72,038.98
  4. Step 4: Simplify right side
    178,682.57x = 19,303,878,450.36
  5. Step 5: Solve for x
    x = 19,303,878,450.36/178,682.57
  6. Step 6: Final answer
    x = 108,034.48

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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.