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Finding the Fourth Proportional to 145,471.80, 200,755.60 and 81,813.08

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Solution

The fourth proportional to 145,471.80, 200,755.60 and 81,813.08 is: 112,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,471.80 : 200,755.60 = 81,813.08 : x
  2. Step 2: Convert to fraction form
    145,471.80/200,755.60 = 81,813.08/x
  3. Step 3: Cross multiply
    145,471.80x = 200,755.60 × 81,813.08
  4. Step 4: Simplify right side
    145,471.80x = 16,424,433,963.25
  5. Step 5: Solve for x
    x = 16,424,433,963.25/145,471.80
  6. Step 6: Final answer
    x = 112,904.59

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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.