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Finding the Fourth Proportional to 153,865.82, 230,841.12 and 54,012.84

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Solution

The fourth proportional to 153,865.82, 230,841.12 and 54,012.84 is: 81,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,865.82 : 230,841.12 = 54,012.84 : x
  2. Step 2: Convert to fraction form
    153,865.82/230,841.12 = 54,012.84/x
  3. Step 3: Cross multiply
    153,865.82x = 230,841.12 × 54,012.84
  4. Step 4: Simplify right side
    153,865.82x = 12,468,384,479.98
  5. Step 5: Solve for x
    x = 12,468,384,479.98/153,865.82
  6. Step 6: Final answer
    x = 81,034.14

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Why These Related Problems?

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