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Finding the Fourth Proportional to 153,586.21, 230,362.94 and 53,748.31

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Solution

The fourth proportional to 153,586.21, 230,362.94 and 53,748.31 is: 80,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,586.21 : 230,362.94 = 53,748.31 : x
  2. Step 2: Convert to fraction form
    153,586.21/230,362.94 = 53,748.31/x
  3. Step 3: Cross multiply
    153,586.21x = 230,362.94 × 53,748.31
  4. Step 4: Simplify right side
    153,586.21x = 12,381,618,711.63
  5. Step 5: Solve for x
    x = 12,381,618,711.63/153,586.21
  6. Step 6: Final answer
    x = 80,616.73

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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.