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Finding the Fourth Proportional to 114,433.40, 171,650.10 and 77,108.60

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Solution

The fourth proportional to 114,433.40, 171,650.10 and 77,108.60 is: 115,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,433.40 : 171,650.10 = 77,108.60 : x
  2. Step 2: Convert to fraction form
    114,433.40/171,650.10 = 77,108.60/x
  3. Step 3: Cross multiply
    114,433.40x = 171,650.10 × 77,108.60
  4. Step 4: Simplify right side
    114,433.40x = 13,235,698,900.86
  5. Step 5: Solve for x
    x = 13,235,698,900.86/114,433.40
  6. Step 6: Final answer
    x = 115,662.90

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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.