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Finding the Fourth Proportional to 114,032.80, 171,077.04 and 80,364.49

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Solution

The fourth proportional to 114,032.80, 171,077.04 and 80,364.49 is: 120,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,032.80 : 171,077.04 = 80,364.49 : x
  2. Step 2: Convert to fraction form
    114,032.80/171,077.04 = 80,364.49/x
  3. Step 3: Cross multiply
    114,032.80x = 171,077.04 × 80,364.49
  4. Step 4: Simplify right side
    114,032.80x = 13,748,519,070.31
  5. Step 5: Solve for x
    x = 13,748,519,070.31/114,032.80
  6. Step 6: Final answer
    x = 120,566.36

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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.