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Finding the Fourth Proportional to 219,714.40, 329,134.20 and 114,592.60

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Solution

The fourth proportional to 219,714.40, 329,134.20 and 114,592.60 is: 171,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,714.40 : 329,134.20 = 114,592.60 : x
  2. Step 2: Convert to fraction form
    219,714.40/329,134.20 = 114,592.60/x
  3. Step 3: Cross multiply
    219,714.40x = 329,134.20 × 114,592.60
  4. Step 4: Simplify right side
    219,714.40x = 37,716,343,726.92
  5. Step 5: Solve for x
    x = 37,716,343,726.92/219,714.40
  6. Step 6: Final answer
    x = 171,660.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.