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Finding the Fourth Proportional to 177,894.60, 266,185.80 and 162,148.20

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Solution

The fourth proportional to 177,894.60, 266,185.80 and 162,148.20 is: 242,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,894.60 : 266,185.80 = 162,148.20 : x
  2. Step 2: Convert to fraction form
    177,894.60/266,185.80 = 162,148.20/x
  3. Step 3: Cross multiply
    177,894.60x = 266,185.80 × 162,148.20
  4. Step 4: Simplify right side
    177,894.60x = 43,161,548,335.56
  5. Step 5: Solve for x
    x = 43,161,548,335.56/177,894.60
  6. Step 6: Final answer
    x = 242,624.27

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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.