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Finding the Fourth Proportional to 178,032.10, 267,048.15 and 171,811.30

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Solution

The fourth proportional to 178,032.10, 267,048.15 and 171,811.30 is: 257,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,032.10 : 267,048.15 = 171,811.30 : x
  2. Step 2: Convert to fraction form
    178,032.10/267,048.15 = 171,811.30/x
  3. Step 3: Cross multiply
    178,032.10x = 267,048.15 × 171,811.30
  4. Step 4: Simplify right side
    178,032.10x = 45,881,889,814.10
  5. Step 5: Solve for x
    x = 45,881,889,814.10/178,032.10
  6. Step 6: Final answer
    x = 257,716.95

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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.