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Finding the Fourth Proportional to 545,144.42, 817,659.11 and 145,825.50

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Solution

The fourth proportional to 545,144.42, 817,659.11 and 145,825.50 is: 218,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,144.42 : 817,659.11 = 145,825.50 : x
  2. Step 2: Convert to fraction form
    545,144.42/817,659.11 = 145,825.50/x
  3. Step 3: Cross multiply
    545,144.42x = 817,659.11 × 145,825.50
  4. Step 4: Simplify right side
    545,144.42x = 119,235,548,545.31
  5. Step 5: Solve for x
    x = 119,235,548,545.31/545,144.42
  6. Step 6: Final answer
    x = 218,722.86

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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.