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Finding the Fourth Proportional to 167,415.40, 251,123.10 and 114,271.30

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Solution

The fourth proportional to 167,415.40, 251,123.10 and 114,271.30 is: 171,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,415.40 : 251,123.10 = 114,271.30 : x
  2. Step 2: Convert to fraction form
    167,415.40/251,123.10 = 114,271.30/x
  3. Step 3: Cross multiply
    167,415.40x = 251,123.10 × 114,271.30
  4. Step 4: Simplify right side
    167,415.40x = 28,696,163,097.03
  5. Step 5: Solve for x
    x = 28,696,163,097.03/167,415.40
  6. Step 6: Final answer
    x = 171,406.95

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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.