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Finding the Fourth Proportional to 189,098.60, 283,647.90 and 153,669.20

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Solution

The fourth proportional to 189,098.60, 283,647.90 and 153,669.20 is: 230,503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,098.60 : 283,647.90 = 153,669.20 : x
  2. Step 2: Convert to fraction form
    189,098.60/283,647.90 = 153,669.20/x
  3. Step 3: Cross multiply
    189,098.60x = 283,647.90 × 153,669.20
  4. Step 4: Simplify right side
    189,098.60x = 43,587,945,874.68
  5. Step 5: Solve for x
    x = 43,587,945,874.68/189,098.60
  6. Step 6: Final answer
    x = 230,503.80

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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.