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Finding the Fourth Proportional to 133,693.60, 200,443.20 and 54,767.20

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Solution

The fourth proportional to 133,693.60, 200,443.20 and 54,767.20 is: 82,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,693.60 : 200,443.20 = 54,767.20 : x
  2. Step 2: Convert to fraction form
    133,693.60/200,443.20 = 54,767.20/x
  3. Step 3: Cross multiply
    133,693.60x = 200,443.20 × 54,767.20
  4. Step 4: Simplify right side
    133,693.60x = 10,977,712,823.04
  5. Step 5: Solve for x
    x = 10,977,712,823.04/133,693.60
  6. Step 6: Final answer
    x = 82,110.98

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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.