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Finding the Fourth Proportional to 113,301.40, 169,976.40 and 34,423.60

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Solution

The fourth proportional to 113,301.40, 169,976.40 and 34,423.60 is: 51,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,301.40 : 169,976.40 = 34,423.60 : x
  2. Step 2: Convert to fraction form
    113,301.40/169,976.40 = 34,423.60/x
  3. Step 3: Cross multiply
    113,301.40x = 169,976.40 × 34,423.60
  4. Step 4: Simplify right side
    113,301.40x = 5,851,199,603.04
  5. Step 5: Solve for x
    x = 5,851,199,603.04/113,301.40
  6. Step 6: Final answer
    x = 51,642.78

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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.