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Finding the Fourth Proportional to 113,242.60, 169,864.30 and 34,357.48

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Solution

The fourth proportional to 113,242.60, 169,864.30 and 34,357.48 is: 51,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,242.60 : 169,864.30 = 34,357.48 : x
  2. Step 2: Convert to fraction form
    113,242.60/169,864.30 = 34,357.48/x
  3. Step 3: Cross multiply
    113,242.60x = 169,864.30 × 34,357.48
  4. Step 4: Simplify right side
    113,242.60x = 5,836,109,289.96
  5. Step 5: Solve for x
    x = 5,836,109,289.96/113,242.60
  6. Step 6: Final answer
    x = 51,536.34

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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.