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Finding the Fourth Proportional to 213,215.64, 294,232.80 and 116,416.32

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Solution

The fourth proportional to 213,215.64, 294,232.80 and 116,416.32 is: 160,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,215.64 : 294,232.80 = 116,416.32 : x
  2. Step 2: Convert to fraction form
    213,215.64/294,232.80 = 116,416.32/x
  3. Step 3: Cross multiply
    213,215.64x = 294,232.80 × 116,416.32
  4. Step 4: Simplify right side
    213,215.64x = 34,253,499,799.30
  5. Step 5: Solve for x
    x = 34,253,499,799.30/213,215.64
  6. Step 6: Final answer
    x = 160,651.91

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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.