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Finding the Fourth Proportional to 205,605.60, 283,722.60 and 114,969.03

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Solution

The fourth proportional to 205,605.60, 283,722.60 and 114,969.03 is: 158,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,605.60 : 283,722.60 = 114,969.03 : x
  2. Step 2: Convert to fraction form
    205,605.60/283,722.60 = 114,969.03/x
  3. Step 3: Cross multiply
    205,605.60x = 283,722.60 × 114,969.03
  4. Step 4: Simplify right side
    205,605.60x = 32,619,312,111.08
  5. Step 5: Solve for x
    x = 32,619,312,111.08/205,605.60
  6. Step 6: Final answer
    x = 158,649.92

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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.