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Finding the Fourth Proportional to 177,461.80, 266,192.70 and 162,946.60

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Solution

The fourth proportional to 177,461.80, 266,192.70 and 162,946.60 is: 244,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,461.80 : 266,192.70 = 162,946.60 : x
  2. Step 2: Convert to fraction form
    177,461.80/266,192.70 = 162,946.60/x
  3. Step 3: Cross multiply
    177,461.80x = 266,192.70 × 162,946.60
  4. Step 4: Simplify right side
    177,461.80x = 43,375,195,409.82
  5. Step 5: Solve for x
    x = 43,375,195,409.82/177,461.80
  6. Step 6: Final answer
    x = 244,419.90

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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.