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Finding the Fourth Proportional to 144,763.22, 199,784.31 and 83,520.38

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Solution

The fourth proportional to 144,763.22, 199,784.31 and 83,520.38 is: 115,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763.22 : 199,784.31 = 83,520.38 : x
  2. Step 2: Convert to fraction form
    144,763.22/199,784.31 = 83,520.38/x
  3. Step 3: Cross multiply
    144,763.22x = 199,784.31 × 83,520.38
  4. Step 4: Simplify right side
    144,763.22x = 16,686,060,490.32
  5. Step 5: Solve for x
    x = 16,686,060,490.32/144,763.22
  6. Step 6: Final answer
    x = 115,264.51

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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.