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Finding the Fourth Proportional to 214,214.41, 295,536.76 and 128,175.40

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Solution

The fourth proportional to 214,214.41, 295,536.76 and 128,175.40 is: 176,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,214.41 : 295,536.76 = 128,175.40 : x
  2. Step 2: Convert to fraction form
    214,214.41/295,536.76 = 128,175.40/x
  3. Step 3: Cross multiply
    214,214.41x = 295,536.76 × 128,175.40
  4. Step 4: Simplify right side
    214,214.41x = 37,880,542,427.70
  5. Step 5: Solve for x
    x = 37,880,542,427.70/214,214.41
  6. Step 6: Final answer
    x = 176,834.71

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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.