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Finding the Fourth Proportional to 177,021.72, 265,571.46 and 52,353

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Solution

The fourth proportional to 177,021.72, 265,571.46 and 52,353 is: 78,541.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,021.72 : 265,571.46 = 52,353 : x
  2. Step 2: Convert to fraction form
    177,021.72/265,571.46 = 52,353/x
  3. Step 3: Cross multiply
    177,021.72x = 265,571.46 × 52,353
  4. Step 4: Simplify right side
    177,021.72x = 13,903,462,645.38
  5. Step 5: Solve for x
    x = 13,903,462,645.38/177,021.72
  6. Step 6: Final answer
    x = 78,541.00

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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.