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Finding the Fourth Proportional to 205,443.37, 283,506.40 and 114,800.08

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Solution

The fourth proportional to 205,443.37, 283,506.40 and 114,800.08 is: 158,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,443.37 : 283,506.40 = 114,800.08 : x
  2. Step 2: Convert to fraction form
    205,443.37/283,506.40 = 114,800.08/x
  3. Step 3: Cross multiply
    205,443.37x = 283,506.40 × 114,800.08
  4. Step 4: Simplify right side
    205,443.37x = 32,546,557,400.51
  5. Step 5: Solve for x
    x = 32,546,557,400.51/205,443.37
  6. Step 6: Final answer
    x = 158,421.07

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