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Finding the Fourth Proportional to 223,302.38, 308,171.07 and 127,807.03

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Solution

The fourth proportional to 223,302.38, 308,171.07 and 127,807.03 is: 176,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,302.38 : 308,171.07 = 127,807.03 : x
  2. Step 2: Convert to fraction form
    223,302.38/308,171.07 = 127,807.03/x
  3. Step 3: Cross multiply
    223,302.38x = 308,171.07 × 127,807.03
  4. Step 4: Simplify right side
    223,302.38x = 39,386,427,008.73
  5. Step 5: Solve for x
    x = 39,386,427,008.73/223,302.38
  6. Step 6: Final answer
    x = 176,381.58

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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.