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Finding the Fourth Proportional to 177,185.61, 265,742.10 and 50,792.00

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Solution

The fourth proportional to 177,185.61, 265,742.10 and 50,792.00 is: 76,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,185.61 : 265,742.10 = 50,792.00 : x
  2. Step 2: Convert to fraction form
    177,185.61/265,742.10 = 50,792.00/x
  3. Step 3: Cross multiply
    177,185.61x = 265,742.10 × 50,792.00
  4. Step 4: Simplify right side
    177,185.61x = 13,497,571,414.49
  5. Step 5: Solve for x
    x = 13,497,571,414.49/177,185.61
  6. Step 6: Final answer
    x = 76,177.58

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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.