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Finding the Fourth Proportional to 117,299.27, 175,911.75 and 42,409.51

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Solution

The fourth proportional to 117,299.27, 175,911.75 and 42,409.51 is: 63,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,299.27 : 175,911.75 = 42,409.51 : x
  2. Step 2: Convert to fraction form
    117,299.27/175,911.75 = 42,409.51/x
  3. Step 3: Cross multiply
    117,299.27x = 175,911.75 × 42,409.51
  4. Step 4: Simplify right side
    117,299.27x = 7,460,330,680.96
  5. Step 5: Solve for x
    x = 7,460,330,680.96/117,299.27
  6. Step 6: Final answer
    x = 63,600.83

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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.