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Finding the Fourth Proportional to 136,168.58, 204,258.36 and 47,431.06

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Solution

The fourth proportional to 136,168.58, 204,258.36 and 47,431.06 is: 71,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,168.58 : 204,258.36 = 47,431.06 : x
  2. Step 2: Convert to fraction form
    136,168.58/204,258.36 = 47,431.06/x
  3. Step 3: Cross multiply
    136,168.58x = 204,258.36 × 47,431.06
  4. Step 4: Simplify right side
    136,168.58x = 9,688,190,528.66
  5. Step 5: Solve for x
    x = 9,688,190,528.66/136,168.58
  6. Step 6: Final answer
    x = 71,148.50

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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.