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Finding the Fourth Proportional to 545,142.92, 817,656.86 and 145,824

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Solution

The fourth proportional to 545,142.92, 817,656.86 and 145,824 is: 218,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,142.92 : 817,656.86 = 145,824 : x
  2. Step 2: Convert to fraction form
    545,142.92/817,656.86 = 145,824/x
  3. Step 3: Cross multiply
    545,142.92x = 817,656.86 × 145,824
  4. Step 4: Simplify right side
    545,142.92x = 119,233,993,952.64
  5. Step 5: Solve for x
    x = 119,233,993,952.64/545,142.92
  6. Step 6: Final answer
    x = 218,720.61

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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.