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Finding the Fourth Proportional to 133,758, 200,590.56 and 38,962.62

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Solution

The fourth proportional to 133,758, 200,590.56 and 38,962.62 is: 58,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758 : 200,590.56 = 38,962.62 : x
  2. Step 2: Convert to fraction form
    133,758/200,590.56 = 38,962.62/x
  3. Step 3: Cross multiply
    133,758x = 200,590.56 × 38,962.62
  4. Step 4: Simplify right side
    133,758x = 7,815,533,764.87
  5. Step 5: Solve for x
    x = 7,815,533,764.87/133,758
  6. Step 6: Final answer
    x = 58,430.40

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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.