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Finding the Fourth Proportional to 177,442.40, 266,163.60 and 159,946.40

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Solution

The fourth proportional to 177,442.40, 266,163.60 and 159,946.40 is: 239,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,442.40 : 266,163.60 = 159,946.40 : x
  2. Step 2: Convert to fraction form
    177,442.40/266,163.60 = 159,946.40/x
  3. Step 3: Cross multiply
    177,442.40x = 266,163.60 × 159,946.40
  4. Step 4: Simplify right side
    177,442.40x = 42,571,909,631.04
  5. Step 5: Solve for x
    x = 42,571,909,631.04/177,442.40
  6. Step 6: Final answer
    x = 239,919.60

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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.