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Finding the Fourth Proportional to 153,927.70, 230,891.55 and 148,022.80

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Solution

The fourth proportional to 153,927.70, 230,891.55 and 148,022.80 is: 222,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,927.70 : 230,891.55 = 148,022.80 : x
  2. Step 2: Convert to fraction form
    153,927.70/230,891.55 = 148,022.80/x
  3. Step 3: Cross multiply
    153,927.70x = 230,891.55 × 148,022.80
  4. Step 4: Simplify right side
    153,927.70x = 34,177,213,727.34
  5. Step 5: Solve for x
    x = 34,177,213,727.34/153,927.70
  6. Step 6: Final answer
    x = 222,034.20

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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.