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Finding the Fourth Proportional to 177,486.50, 266,268.64 and 66,678.50

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Solution

The fourth proportional to 177,486.50, 266,268.64 and 66,678.50 is: 100,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,486.50 : 266,268.64 = 66,678.50 : x
  2. Step 2: Convert to fraction form
    177,486.50/266,268.64 = 66,678.50/x
  3. Step 3: Cross multiply
    177,486.50x = 266,268.64 × 66,678.50
  4. Step 4: Simplify right side
    177,486.50x = 17,754,393,512.24
  5. Step 5: Solve for x
    x = 17,754,393,512.24/177,486.50
  6. Step 6: Final answer
    x = 100,032.36

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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.