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Finding the Fourth Proportional to 114,548.72, 171,754.05 and 51,357.41

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Solution

The fourth proportional to 114,548.72, 171,754.05 and 51,357.41 is: 77,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,548.72 : 171,754.05 = 51,357.41 : x
  2. Step 2: Convert to fraction form
    114,548.72/171,754.05 = 51,357.41/x
  3. Step 3: Cross multiply
    114,548.72x = 171,754.05 × 51,357.41
  4. Step 4: Simplify right side
    114,548.72x = 8,820,842,306.24
  5. Step 5: Solve for x
    x = 8,820,842,306.24/114,548.72
  6. Step 6: Final answer
    x = 77,005.16

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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.