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Finding the Fourth Proportional to 223,305.88, 308,175.89 and 127,810.53

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Solution

The fourth proportional to 223,305.88, 308,175.89 and 127,810.53 is: 176,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,305.88 : 308,175.89 = 127,810.53 : x
  2. Step 2: Convert to fraction form
    223,305.88/308,175.89 = 127,810.53/x
  3. Step 3: Cross multiply
    223,305.88x = 308,175.89 × 127,810.53
  4. Step 4: Simplify right side
    223,305.88x = 39,388,123,834.12
  5. Step 5: Solve for x
    x = 39,388,123,834.12/223,305.88
  6. Step 6: Final answer
    x = 176,386.42

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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.