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Finding the Fourth Proportional to 219,381.16, 329,071.74 and 53,169.16

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Solution

The fourth proportional to 219,381.16, 329,071.74 and 53,169.16 is: 79,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,381.16 : 329,071.74 = 53,169.16 : x
  2. Step 2: Convert to fraction form
    219,381.16/329,071.74 = 53,169.16/x
  3. Step 3: Cross multiply
    219,381.16x = 329,071.74 × 53,169.16
  4. Step 4: Simplify right side
    219,381.16x = 17,496,467,995.54
  5. Step 5: Solve for x
    x = 17,496,467,995.54/219,381.16
  6. Step 6: Final answer
    x = 79,753.74

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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.