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Finding the Fourth Proportional to 177,967.86, 245,571.90 and 102,501.78

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Solution

The fourth proportional to 177,967.86, 245,571.90 and 102,501.78 is: 141,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,967.86 : 245,571.90 = 102,501.78 : x
  2. Step 2: Convert to fraction form
    177,967.86/245,571.90 = 102,501.78/x
  3. Step 3: Cross multiply
    177,967.86x = 245,571.90 × 102,501.78
  4. Step 4: Simplify right side
    177,967.86x = 25,171,556,867.98
  5. Step 5: Solve for x
    x = 25,171,556,867.98/177,967.86
  6. Step 6: Final answer
    x = 141,438.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.