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Finding the Fourth Proportional to 214,742.58, 296,338.41 and 117,947.58

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Solution

The fourth proportional to 214,742.58, 296,338.41 and 117,947.58 is: 162,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,742.58 : 296,338.41 = 117,947.58 : x
  2. Step 2: Convert to fraction form
    214,742.58/296,338.41 = 117,947.58/x
  3. Step 3: Cross multiply
    214,742.58x = 296,338.41 × 117,947.58
  4. Step 4: Simplify right side
    214,742.58x = 34,952,398,320.55
  5. Step 5: Solve for x
    x = 34,952,398,320.55/214,742.58
  6. Step 6: Final answer
    x = 162,764.17

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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.