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Finding the Fourth Proportional to 177,635, 266,642.19 and 76,483.11

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Solution

The fourth proportional to 177,635, 266,642.19 and 76,483.11 is: 114,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,635 : 266,642.19 = 76,483.11 : x
  2. Step 2: Convert to fraction form
    177,635/266,642.19 = 76,483.11/x
  3. Step 3: Cross multiply
    177,635x = 266,642.19 × 76,483.11
  4. Step 4: Simplify right side
    177,635x = 20,393,623,948.41
  5. Step 5: Solve for x
    x = 20,393,623,948.41/177,635
  6. Step 6: Final answer
    x = 114,806.34

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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.