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Finding the Fourth Proportional to 483,135.56, 724,728.56 and 146,167.72

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Solution

The fourth proportional to 483,135.56, 724,728.56 and 146,167.72 is: 219,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,135.56 : 724,728.56 = 146,167.72 : x
  2. Step 2: Convert to fraction form
    483,135.56/724,728.56 = 146,167.72/x
  3. Step 3: Cross multiply
    483,135.56x = 724,728.56 × 146,167.72
  4. Step 4: Simplify right side
    483,135.56x = 105,931,921,234.08
  5. Step 5: Solve for x
    x = 105,931,921,234.08/483,135.56
  6. Step 6: Final answer
    x = 219,259.21

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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.