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Finding the Fourth Proportional to 219,033.66, 328,549.77 and 52,821.66

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Solution

The fourth proportional to 219,033.66, 328,549.77 and 52,821.66 is: 79,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033.66 : 328,549.77 = 52,821.66 : x
  2. Step 2: Convert to fraction form
    219,033.66/328,549.77 = 52,821.66/x
  3. Step 3: Cross multiply
    219,033.66x = 328,549.77 × 52,821.66
  4. Step 4: Simplify right side
    219,033.66x = 17,354,544,244.02
  5. Step 5: Solve for x
    x = 17,354,544,244.02/219,033.66
  6. Step 6: Final answer
    x = 79,232.32

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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.