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Finding the Fourth Proportional to 102,297.80, 153,434.22 and 27,423.56

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Solution

The fourth proportional to 102,297.80, 153,434.22 and 27,423.56 is: 41,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,297.80 : 153,434.22 = 27,423.56 : x
  2. Step 2: Convert to fraction form
    102,297.80/153,434.22 = 27,423.56/x
  3. Step 3: Cross multiply
    102,297.80x = 153,434.22 × 27,423.56
  4. Step 4: Simplify right side
    102,297.80x = 4,207,712,538.22
  5. Step 5: Solve for x
    x = 4,207,712,538.22/102,297.80
  6. Step 6: Final answer
    x = 41,131.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.