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Finding the Fourth Proportional to 219,621.40, 329,432.10 and 53,409.40

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Solution

The fourth proportional to 219,621.40, 329,432.10 and 53,409.40 is: 80,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,621.40 : 329,432.10 = 53,409.40 : x
  2. Step 2: Convert to fraction form
    219,621.40/329,432.10 = 53,409.40/x
  3. Step 3: Cross multiply
    219,621.40x = 329,432.10 × 53,409.40
  4. Step 4: Simplify right side
    219,621.40x = 17,594,770,801.74
  5. Step 5: Solve for x
    x = 17,594,770,801.74/219,621.40
  6. Step 6: Final answer
    x = 80,114.10

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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.