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Finding the Fourth Proportional to 215,209.64, 296,996.42 and 118,424.57

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Solution

The fourth proportional to 215,209.64, 296,996.42 and 118,424.57 is: 163,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,209.64 : 296,996.42 = 118,424.57 : x
  2. Step 2: Convert to fraction form
    215,209.64/296,996.42 = 118,424.57/x
  3. Step 3: Cross multiply
    215,209.64x = 296,996.42 × 118,424.57
  4. Step 4: Simplify right side
    215,209.64x = 35,171,672,141.12
  5. Step 5: Solve for x
    x = 35,171,672,141.12/215,209.64
  6. Step 6: Final answer
    x = 163,429.82

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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.