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Finding the Fourth Proportional to 223,305.38, 308,175.20 and 127,810.02

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Solution

The fourth proportional to 223,305.38, 308,175.20 and 127,810.02 is: 176,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,305.38 : 308,175.20 = 127,810.02 : x
  2. Step 2: Convert to fraction form
    223,305.38/308,175.20 = 127,810.02/x
  3. Step 3: Cross multiply
    223,305.38x = 308,175.20 × 127,810.02
  4. Step 4: Simplify right side
    223,305.38x = 39,387,878,475.50
  5. Step 5: Solve for x
    x = 39,387,878,475.50/223,305.38
  6. Step 6: Final answer
    x = 176,385.71

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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.