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Finding the Fourth Proportional to 114,000.20, 171,000.30 and 76,675.40

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Solution

The fourth proportional to 114,000.20, 171,000.30 and 76,675.40 is: 115,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000.20 : 171,000.30 = 76,675.40 : x
  2. Step 2: Convert to fraction form
    114,000.20/171,000.30 = 76,675.40/x
  3. Step 3: Cross multiply
    114,000.20x = 171,000.30 × 76,675.40
  4. Step 4: Simplify right side
    114,000.20x = 13,111,516,402.62
  5. Step 5: Solve for x
    x = 13,111,516,402.62/114,000.20
  6. Step 6: Final answer
    x = 115,013.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.