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Finding the Fourth Proportional to 158,405.80, 237,608.70 and 147,908.20

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Solution

The fourth proportional to 158,405.80, 237,608.70 and 147,908.20 is: 221,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,405.80 : 237,608.70 = 147,908.20 : x
  2. Step 2: Convert to fraction form
    158,405.80/237,608.70 = 147,908.20/x
  3. Step 3: Cross multiply
    158,405.80x = 237,608.70 × 147,908.20
  4. Step 4: Simplify right side
    158,405.80x = 35,144,275,121.34
  5. Step 5: Solve for x
    x = 35,144,275,121.34/158,405.80
  6. Step 6: Final answer
    x = 221,862.30

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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.