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Finding the Fourth Proportional to 342,597.84, 513,945.98 and 105,958.97

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Solution

The fourth proportional to 342,597.84, 513,945.98 and 105,958.97 is: 158,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,597.84 : 513,945.98 = 105,958.97 : x
  2. Step 2: Convert to fraction form
    342,597.84/513,945.98 = 105,958.97/x
  3. Step 3: Cross multiply
    342,597.84x = 513,945.98 × 105,958.97
  4. Step 4: Simplify right side
    342,597.84x = 54,457,185,901.56
  5. Step 5: Solve for x
    x = 54,457,185,901.56/342,597.84
  6. Step 6: Final answer
    x = 158,953.68

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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.