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Finding the Fourth Proportional to 204,656.58, 282,434.56 and 114,012.50

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Solution

The fourth proportional to 204,656.58, 282,434.56 and 114,012.50 is: 157,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,656.58 : 282,434.56 = 114,012.50 : x
  2. Step 2: Convert to fraction form
    204,656.58/282,434.56 = 114,012.50/x
  3. Step 3: Cross multiply
    204,656.58x = 282,434.56 × 114,012.50
  4. Step 4: Simplify right side
    204,656.58x = 32,201,068,574.80
  5. Step 5: Solve for x
    x = 32,201,068,574.80/204,656.58
  6. Step 6: Final answer
    x = 157,341.97

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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.