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Finding the Fourth Proportional to 113,194.84, 169,806.84 and 34,295.16

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Solution

The fourth proportional to 113,194.84, 169,806.84 and 34,295.16 is: 51,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194.84 : 169,806.84 = 34,295.16 : x
  2. Step 2: Convert to fraction form
    113,194.84/169,806.84 = 34,295.16/x
  3. Step 3: Cross multiply
    113,194.84x = 169,806.84 × 34,295.16
  4. Step 4: Simplify right side
    113,194.84x = 5,823,552,746.89
  5. Step 5: Solve for x
    x = 5,823,552,746.89/113,194.84
  6. Step 6: Final answer
    x = 51,447.16

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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.