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Finding the Fourth Proportional to 358,885.20, 538,133.40 and 148,285.20

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Solution

The fourth proportional to 358,885.20, 538,133.40 and 148,285.20 is: 222,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,885.20 : 538,133.40 = 148,285.20 : x
  2. Step 2: Convert to fraction form
    358,885.20/538,133.40 = 148,285.20/x
  3. Step 3: Cross multiply
    358,885.20x = 538,133.40 × 148,285.20
  4. Step 4: Simplify right side
    358,885.20x = 79,797,218,845.68
  5. Step 5: Solve for x
    x = 79,797,218,845.68/358,885.20
  6. Step 6: Final answer
    x = 222,347.48

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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.