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Finding the Fourth Proportional to 177,762.43, 266,717.76 and 77,994.33

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Solution

The fourth proportional to 177,762.43, 266,717.76 and 77,994.33 is: 117,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,762.43 : 266,717.76 = 77,994.33 : x
  2. Step 2: Convert to fraction form
    177,762.43/266,717.76 = 77,994.33/x
  3. Step 3: Cross multiply
    177,762.43x = 266,717.76 × 77,994.33
  4. Step 4: Simplify right side
    177,762.43x = 20,802,472,990.30
  5. Step 5: Solve for x
    x = 20,802,472,990.30/177,762.43
  6. Step 6: Final answer
    x = 117,024.01

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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.