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Finding the Fourth Proportional to 205,116.68, 283,051.86 and 114,467.72

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Solution

The fourth proportional to 205,116.68, 283,051.86 and 114,467.72 is: 157,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,116.68 : 283,051.86 = 114,467.72 : x
  2. Step 2: Convert to fraction form
    205,116.68/283,051.86 = 114,467.72/x
  3. Step 3: Cross multiply
    205,116.68x = 283,051.86 × 114,467.72
  4. Step 4: Simplify right side
    205,116.68x = 32,400,301,055.96
  5. Step 5: Solve for x
    x = 32,400,301,055.96/205,116.68
  6. Step 6: Final answer
    x = 157,960.34

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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.