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Finding the Fourth Proportional to 175,205.92, 241,889.21 and 114,881.80

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Solution

The fourth proportional to 175,205.92, 241,889.21 and 114,881.80 is: 158,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,205.92 : 241,889.21 = 114,881.80 : x
  2. Step 2: Convert to fraction form
    175,205.92/241,889.21 = 114,881.80/x
  3. Step 3: Cross multiply
    175,205.92x = 241,889.21 × 114,881.80
  4. Step 4: Simplify right side
    175,205.92x = 27,788,667,316.79
  5. Step 5: Solve for x
    x = 27,788,667,316.79/175,205.92
  6. Step 6: Final answer
    x = 158,605.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.