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Finding the Fourth Proportional to 153,709.79, 230,586.24 and 53,847.11

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Solution

The fourth proportional to 153,709.79, 230,586.24 and 53,847.11 is: 80,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.79 : 230,586.24 = 53,847.11 : x
  2. Step 2: Convert to fraction form
    153,709.79/230,586.24 = 53,847.11/x
  3. Step 3: Cross multiply
    153,709.79x = 230,586.24 × 53,847.11
  4. Step 4: Simplify right side
    153,709.79x = 12,416,403,408.16
  5. Step 5: Solve for x
    x = 12,416,403,408.16/153,709.79
  6. Step 6: Final answer
    x = 80,778.22

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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.