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Finding the Fourth Proportional to 145,617.88, 200,959.14 and 81,959.80

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Solution

The fourth proportional to 145,617.88, 200,959.14 and 81,959.80 is: 113,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,617.88 : 200,959.14 = 81,959.80 : x
  2. Step 2: Convert to fraction form
    145,617.88/200,959.14 = 81,959.80/x
  3. Step 3: Cross multiply
    145,617.88x = 200,959.14 × 81,959.80
  4. Step 4: Simplify right side
    145,617.88x = 16,470,570,922.57
  5. Step 5: Solve for x
    x = 16,470,570,922.57/145,617.88
  6. Step 6: Final answer
    x = 113,108.16

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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.