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Finding the Fourth Proportional to 114,011.01, 171,053.42 and 54,838.98

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Solution

The fourth proportional to 114,011.01, 171,053.42 and 54,838.98 is: 82,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,011.01 : 171,053.42 = 54,838.98 : x
  2. Step 2: Convert to fraction form
    114,011.01/171,053.42 = 54,838.98/x
  3. Step 3: Cross multiply
    114,011.01x = 171,053.42 × 54,838.98
  4. Step 4: Simplify right side
    114,011.01x = 9,380,394,804.12
  5. Step 5: Solve for x
    x = 9,380,394,804.12/114,011.01
  6. Step 6: Final answer
    x = 82,276.22

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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.