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Finding the Fourth Proportional to 158,233.80, 237,350.70 and 147,865.80

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Solution

The fourth proportional to 158,233.80, 237,350.70 and 147,865.80 is: 221,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,233.80 : 237,350.70 = 147,865.80 : x
  2. Step 2: Convert to fraction form
    158,233.80/237,350.70 = 147,865.80/x
  3. Step 3: Cross multiply
    158,233.80x = 237,350.70 × 147,865.80
  4. Step 4: Simplify right side
    158,233.80x = 35,096,051,136.06
  5. Step 5: Solve for x
    x = 35,096,051,136.06/158,233.80
  6. Step 6: Final answer
    x = 221,798.70

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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.