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Finding the Fourth Proportional to 545,143.92, 817,658.36 and 145,825

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Solution

The fourth proportional to 545,143.92, 817,658.36 and 145,825 is: 218,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,143.92 : 817,658.36 = 145,825 : x
  2. Step 2: Convert to fraction form
    545,143.92/817,658.36 = 145,825/x
  3. Step 3: Cross multiply
    545,143.92x = 817,658.36 × 145,825
  4. Step 4: Simplify right side
    545,143.92x = 119,235,030,347
  5. Step 5: Solve for x
    x = 119,235,030,347/545,143.92
  6. Step 6: Final answer
    x = 218,722.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.