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Finding the Fourth Proportional to 210,082.41, 289,920.47 and 114,593.13

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Solution

The fourth proportional to 210,082.41, 289,920.47 and 114,593.13 is: 158,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,082.41 : 289,920.47 = 114,593.13 : x
  2. Step 2: Convert to fraction form
    210,082.41/289,920.47 = 114,593.13/x
  3. Step 3: Cross multiply
    210,082.41x = 289,920.47 × 114,593.13
  4. Step 4: Simplify right side
    210,082.41x = 33,222,893,535.41
  5. Step 5: Solve for x
    x = 33,222,893,535.41/210,082.41
  6. Step 6: Final answer
    x = 158,142.20

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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.