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Finding the Fourth Proportional to 145,756.92, 218,489.22 and 50,913.48

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Solution

The fourth proportional to 145,756.92, 218,489.22 and 50,913.48 is: 76,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,756.92 : 218,489.22 = 50,913.48 : x
  2. Step 2: Convert to fraction form
    145,756.92/218,489.22 = 50,913.48/x
  3. Step 3: Cross multiply
    145,756.92x = 218,489.22 × 50,913.48
  4. Step 4: Simplify right side
    145,756.92x = 11,124,046,532.69
  5. Step 5: Solve for x
    x = 11,124,046,532.69/145,756.92
  6. Step 6: Final answer
    x = 76,319.17

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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.