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Finding the Fourth Proportional to 113,283.25, 169,913.90 and 34,398.16

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Solution

The fourth proportional to 113,283.25, 169,913.90 and 34,398.16 is: 51,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,283.25 : 169,913.90 = 34,398.16 : x
  2. Step 2: Convert to fraction form
    113,283.25/169,913.90 = 34,398.16/x
  3. Step 3: Cross multiply
    113,283.25x = 169,913.90 × 34,398.16
  4. Step 4: Simplify right side
    113,283.25x = 5,844,725,179.63
  5. Step 5: Solve for x
    x = 5,844,725,179.63/113,283.25
  6. Step 6: Final answer
    x = 51,593.91

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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.