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Finding the Fourth Proportional to 114,662.40, 171,653.40 and 85,210.80

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Solution

The fourth proportional to 114,662.40, 171,653.40 and 85,210.80 is: 127,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,662.40 : 171,653.40 = 85,210.80 : x
  2. Step 2: Convert to fraction form
    114,662.40/171,653.40 = 85,210.80/x
  3. Step 3: Cross multiply
    114,662.40x = 171,653.40 × 85,210.80
  4. Step 4: Simplify right side
    114,662.40x = 14,626,723,536.72
  5. Step 5: Solve for x
    x = 14,626,723,536.72/114,662.40
  6. Step 6: Final answer
    x = 127,563.38

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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.