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Finding the Fourth Proportional to 219,022.40, 328,533.60 and 114,046.40

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Solution

The fourth proportional to 219,022.40, 328,533.60 and 114,046.40 is: 171,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022.40 : 328,533.60 = 114,046.40 : x
  2. Step 2: Convert to fraction form
    219,022.40/328,533.60 = 114,046.40/x
  3. Step 3: Cross multiply
    219,022.40x = 328,533.60 × 114,046.40
  4. Step 4: Simplify right side
    219,022.40x = 37,468,074,359.04
  5. Step 5: Solve for x
    x = 37,468,074,359.04/219,022.40
  6. Step 6: Final answer
    x = 171,069.60

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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.