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Finding the Fourth Proportional to 177,102.71, 265,583.59 and 64,757.33

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Solution

The fourth proportional to 177,102.71, 265,583.59 and 64,757.33 is: 97,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,102.71 : 265,583.59 = 64,757.33 : x
  2. Step 2: Convert to fraction form
    177,102.71/265,583.59 = 64,757.33/x
  3. Step 3: Cross multiply
    177,102.71x = 265,583.59 × 64,757.33
  4. Step 4: Simplify right side
    177,102.71x = 17,198,484,180.21
  5. Step 5: Solve for x
    x = 17,198,484,180.21/177,102.71
  6. Step 6: Final answer
    x = 97,110.23

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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.