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Finding the Fourth Proportional to 219,858.40, 329,345.34 and 166,641.40

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Solution

The fourth proportional to 219,858.40, 329,345.34 and 166,641.40 is: 249,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,858.40 : 329,345.34 = 166,641.40 : x
  2. Step 2: Convert to fraction form
    219,858.40/329,345.34 = 166,641.40/x
  3. Step 3: Cross multiply
    219,858.40x = 329,345.34 × 166,641.40
  4. Step 4: Simplify right side
    219,858.40x = 54,882,569,265.21
  5. Step 5: Solve for x
    x = 54,882,569,265.21/219,858.40
  6. Step 6: Final answer
    x = 249,626.89

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Why These Related Problems?

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