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Finding the Fourth Proportional to 114,486.21, 171,835.02 and 82,498.50

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Solution

The fourth proportional to 114,486.21, 171,835.02 and 82,498.50 is: 123,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486.21 : 171,835.02 = 82,498.50 : x
  2. Step 2: Convert to fraction form
    114,486.21/171,835.02 = 82,498.50/x
  3. Step 3: Cross multiply
    114,486.21x = 171,835.02 × 82,498.50
  4. Step 4: Simplify right side
    114,486.21x = 14,176,131,397.47
  5. Step 5: Solve for x
    x = 14,176,131,397.47/114,486.21
  6. Step 6: Final answer
    x = 123,823.92

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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.