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Finding the Fourth Proportional to 114,602.88, 171,939.53 and 54,707.79

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Solution

The fourth proportional to 114,602.88, 171,939.53 and 54,707.79 is: 82,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,602.88 : 171,939.53 = 54,707.79 : x
  2. Step 2: Convert to fraction form
    114,602.88/171,939.53 = 54,707.79/x
  3. Step 3: Cross multiply
    114,602.88x = 171,939.53 × 54,707.79
  4. Step 4: Simplify right side
    114,602.88x = 9,406,431,426.40
  5. Step 5: Solve for x
    x = 9,406,431,426.40/114,602.88
  6. Step 6: Final answer
    x = 82,078.49

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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.