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Finding the Fourth Proportional to 177,209.40, 265,814.10 and 166,841.40

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Solution

The fourth proportional to 177,209.40, 265,814.10 and 166,841.40 is: 250,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,209.40 : 265,814.10 = 166,841.40 : x
  2. Step 2: Convert to fraction form
    177,209.40/265,814.10 = 166,841.40/x
  3. Step 3: Cross multiply
    177,209.40x = 265,814.10 × 166,841.40
  4. Step 4: Simplify right side
    177,209.40x = 44,348,796,583.74
  5. Step 5: Solve for x
    x = 44,348,796,583.74/177,209.40
  6. Step 6: Final answer
    x = 250,262.10

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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.