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Finding the Fourth Proportional to 177,192.50, 265,963.70 and 77,421.56

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Solution

The fourth proportional to 177,192.50, 265,963.70 and 77,421.56 is: 116,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,192.50 : 265,963.70 = 77,421.56 : x
  2. Step 2: Convert to fraction form
    177,192.50/265,963.70 = 77,421.56/x
  3. Step 3: Cross multiply
    177,192.50x = 265,963.70 × 77,421.56
  4. Step 4: Simplify right side
    177,192.50x = 20,591,323,421.11
  5. Step 5: Solve for x
    x = 20,591,323,421.11/177,192.50
  6. Step 6: Final answer
    x = 116,208.78

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1.5x scale

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.