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Finding the Fourth Proportional to 225,726.41, 311,495.69 and 123,748.38

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Solution

The fourth proportional to 225,726.41, 311,495.69 and 123,748.38 is: 170,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,726.41 : 311,495.69 = 123,748.38 : x
  2. Step 2: Convert to fraction form
    225,726.41/311,495.69 = 123,748.38/x
  3. Step 3: Cross multiply
    225,726.41x = 311,495.69 × 123,748.38
  4. Step 4: Simplify right side
    225,726.41x = 38,547,086,395.74
  5. Step 5: Solve for x
    x = 38,547,086,395.74/225,726.41
  6. Step 6: Final answer
    x = 170,769.06

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