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Finding the Fourth Proportional to 158,857.60, 237,940.80 and 96,419.20

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Solution

The fourth proportional to 158,857.60, 237,940.80 and 96,419.20 is: 144,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,857.60 : 237,940.80 = 96,419.20 : x
  2. Step 2: Convert to fraction form
    158,857.60/237,940.80 = 96,419.20/x
  3. Step 3: Cross multiply
    158,857.60x = 237,940.80 × 96,419.20
  4. Step 4: Simplify right side
    158,857.60x = 22,942,061,583.36
  5. Step 5: Solve for x
    x = 22,942,061,583.36/158,857.60
  6. Step 6: Final answer
    x = 144,419.04

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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.