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Finding the Fourth Proportional to 193,466.90, 290,200.35 and 146,227.70

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Solution

The fourth proportional to 193,466.90, 290,200.35 and 146,227.70 is: 219,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,466.90 : 290,200.35 = 146,227.70 : x
  2. Step 2: Convert to fraction form
    193,466.90/290,200.35 = 146,227.70/x
  3. Step 3: Cross multiply
    193,466.90x = 290,200.35 × 146,227.70
  4. Step 4: Simplify right side
    193,466.90x = 42,435,329,719.70
  5. Step 5: Solve for x
    x = 42,435,329,719.70/193,466.90
  6. Step 6: Final answer
    x = 219,341.55

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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.