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Finding the Fourth Proportional to 219,568.16, 329,352.23 and 53,356.16

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Solution

The fourth proportional to 219,568.16, 329,352.23 and 53,356.16 is: 80,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568.16 : 329,352.23 = 53,356.16 : x
  2. Step 2: Convert to fraction form
    219,568.16/329,352.23 = 53,356.16/x
  3. Step 3: Cross multiply
    219,568.16x = 329,352.23 × 53,356.16
  4. Step 4: Simplify right side
    219,568.16x = 17,572,968,766.87
  5. Step 5: Solve for x
    x = 17,572,968,766.87/219,568.16
  6. Step 6: Final answer
    x = 80,034.23

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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.