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Finding the Fourth Proportional to 210,821.67, 291,146.43 and 134,376.80

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Solution

The fourth proportional to 210,821.67, 291,146.43 and 134,376.80 is: 185,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,821.67 : 291,146.43 = 134,376.80 : x
  2. Step 2: Convert to fraction form
    210,821.67/291,146.43 = 134,376.80/x
  3. Step 3: Cross multiply
    210,821.67x = 291,146.43 × 134,376.80
  4. Step 4: Simplify right side
    210,821.67x = 39,123,324,328.05
  5. Step 5: Solve for x
    x = 39,123,324,328.05/210,821.67
  6. Step 6: Final answer
    x = 185,575.44

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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.