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Finding the Fourth Proportional to 219,855.29, 302,985.64 and 176,198.25

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Solution

The fourth proportional to 219,855.29, 302,985.64 and 176,198.25 is: 242,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,855.29 : 302,985.64 = 176,198.25 : x
  2. Step 2: Convert to fraction form
    219,855.29/302,985.64 = 176,198.25/x
  3. Step 3: Cross multiply
    219,855.29x = 302,985.64 × 176,198.25
  4. Step 4: Simplify right side
    219,855.29x = 53,385,538,204.16
  5. Step 5: Solve for x
    x = 53,385,538,204.16/219,855.29
  6. Step 6: Final answer
    x = 242,821.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.