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Finding the Fourth Proportional to 145,498.38, 200,771.52 and 81,834.82

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Solution

The fourth proportional to 145,498.38, 200,771.52 and 81,834.82 is: 112,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,498.38 : 200,771.52 = 81,834.82 : x
  2. Step 2: Convert to fraction form
    145,498.38/200,771.52 = 81,834.82/x
  3. Step 3: Cross multiply
    145,498.38x = 200,771.52 × 81,834.82
  4. Step 4: Simplify right side
    145,498.38x = 16,430,101,200.33
  5. Step 5: Solve for x
    x = 16,430,101,200.33/145,498.38
  6. Step 6: Final answer
    x = 112,922.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.