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Finding the Fourth Proportional to 193,473.80, 290,429.40 and 149,296.40

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Solution

The fourth proportional to 193,473.80, 290,429.40 and 149,296.40 is: 224,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,473.80 : 290,429.40 = 149,296.40 : x
  2. Step 2: Convert to fraction form
    193,473.80/290,429.40 = 149,296.40/x
  3. Step 3: Cross multiply
    193,473.80x = 290,429.40 × 149,296.40
  4. Step 4: Simplify right side
    193,473.80x = 43,360,063,874.16
  5. Step 5: Solve for x
    x = 43,360,063,874.16/193,473.80
  6. Step 6: Final answer
    x = 224,113.36

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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.