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Finding the Fourth Proportional to 177,634, 266,640.69 and 76,482.11

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Solution

The fourth proportional to 177,634, 266,640.69 and 76,482.11 is: 114,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,634 : 266,640.69 = 76,482.11 : x
  2. Step 2: Convert to fraction form
    177,634/266,640.69 = 76,482.11/x
  3. Step 3: Cross multiply
    177,634x = 266,640.69 × 76,482.11
  4. Step 4: Simplify right side
    177,634x = 20,393,242,583.06
  5. Step 5: Solve for x
    x = 20,393,242,583.06/177,634
  6. Step 6: Final answer
    x = 114,804.84

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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.