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Finding the Fourth Proportional to 177,384.67, 265,935.73 and 102,419.78

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Solution

The fourth proportional to 177,384.67, 265,935.73 and 102,419.78 is: 153,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384.67 : 265,935.73 = 102,419.78 : x
  2. Step 2: Convert to fraction form
    177,384.67/265,935.73 = 102,419.78/x
  3. Step 3: Cross multiply
    177,384.67x = 265,935.73 × 102,419.78
  4. Step 4: Simplify right side
    177,384.67x = 27,237,078,448.64
  5. Step 5: Solve for x
    x = 27,237,078,448.64/177,384.67
  6. Step 6: Final answer
    x = 153,548.10

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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.