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Finding the Fourth Proportional to 177,462.00, 265,768.62 and 102,354.45

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Solution

The fourth proportional to 177,462.00, 265,768.62 and 102,354.45 is: 153,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,462.00 : 265,768.62 = 102,354.45 : x
  2. Step 2: Convert to fraction form
    177,462.00/265,768.62 = 102,354.45/x
  3. Step 3: Cross multiply
    177,462.00x = 265,768.62 × 102,354.45
  4. Step 4: Simplify right side
    177,462.00x = 27,202,599,598.52
  5. Step 5: Solve for x
    x = 27,202,599,598.52/177,462.00
  6. Step 6: Final answer
    x = 153,286.90

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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.