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Finding the Fourth Proportional to 161,807.94, 242,536.59 and 82,813.86

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Solution

The fourth proportional to 161,807.94, 242,536.59 and 82,813.86 is: 124,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,807.94 : 242,536.59 = 82,813.86 : x
  2. Step 2: Convert to fraction form
    161,807.94/242,536.59 = 82,813.86/x
  3. Step 3: Cross multiply
    161,807.94x = 242,536.59 × 82,813.86
  4. Step 4: Simplify right side
    161,807.94x = 20,085,391,209.14
  5. Step 5: Solve for x
    x = 20,085,391,209.14/161,807.94
  6. Step 6: Final answer
    x = 124,131.06

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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.